Calculate Right Triangle Leg Length | Pythagorean Theorem Example

Feb 27, 2025

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Learn how to find the length of a right triangle's leg using the Pythagorean Theorem with an illustrated example problem solved step by step.

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Calculate Right Triangle Leg Length | Pythagorean Theorem Example

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4-6 Example 2 Lesson 4-6 Example 2 Find the length of the leg of a right triangle. 1.From the figure you know b = 20 and c = 25.
4-6 Example 2 Lesson 4-6 Example 2 Find the length of the leg of a right triangle. 2. Substitute the values of a and c in the Pythagorean Theorem and solve for b. a2 + b2 = c2 Use the formula. a2 + 202 = 252Substitute the measure of each side.
4-6 Example 2 Lesson 4-6 Example 2 Find the length of the leg of a right triangle. a2 + 400= 625Simplify the exponents. a2 = 225 Subtract 400 from 625. Take the square root of both sides. a = 15 Simplify the square roots.
4-6 Example 2 Lesson 4-6 Example 2 Find the length of the leg of a right triangle. The length of the leg is 15 units.

Lesson 4-4 Example 5

4-4. Lesson 4-4 Example 5. Solve. CAMPING The entry to Ayame’s tent is in the shape of a triangle. It has a 104° angle and a 38° angle. What is the measure of the third angle of the tent entrance?. 4-4. Lesson 4-4 Example 5. Understand Read the problem. Write what you know.

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Lesson 4-2 Example 4

3-2. Lesson 4-2 Example 4. Solve. MONEY Casey and Jerald each purchased a ticket to the movies at $6.45 each. They used a different combination of bills and coins to pay. Represent $6.45 in two ways. Understand Read the problem. Write what you know. Each person paid a total of $6.45.

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Lesson 1-2 Example 4

3-1. Lesson 1-2 Example 4. Solve. On Venus an object weighs 91% as much as it weighs on Earth. How much would a person who weighs 140 pounds on Earth weigh on Venus?. Understand Read the problem. Write what you know. On Venus, something weighs 91% of what it does on Earth. 3-1.

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Lesson 4-13 Example 2

2-5. Example 2. Lesson 4-13 Example 2. Find the product of 87 and 39. Use the traditional multiplication method. 1. Estimate. 90 × 40 = 3,600. 2-5. Example 2. Lesson 4-13 Example 2. Find the product of 87 and 39. Use the traditional multiplication method.

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Lesson 3-6 Example 2

3-6. Example 2. Lesson 3-6 Example 2. Find the difference 572 and 286. Use expanded form. 1. Write the first number in expanded form. 500 + 70 + 2. 3-6. Example 2. Lesson 3-6 Example 2. Find the difference 572 and 286. Use expanded form. 2. Write the second number in expanded form.

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Lesson 4-2 Example 3

4-2. Example 3. Lesson 4-2 Example 3. Show four solutions of y = x + 9 in a table of ordered pairs. 1. Choose four values for x. 4-2. Example 3. Lesson 4-2 Example 3. Show four solutions of y = x + 9 in a table of ordered pairs.

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Lesson 2-3 Example 4

36. 24. 6. 6. 6. 4. 6. 2. 3. 2. 3. 2. 3. 2. 2. 2. 3. 2-3. Lesson 2-3 Example 4. Find the GCF of 6, 24, and 36 by using prime factors. Step 1 Write the prime factorization. 2-3. Lesson 2-3 Example 4. Find the GCF of 6, 24, and 36 by using prime factors.

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Lesson 4-2 Example 3

4-2. Example 3. Lesson 4-2 Example 3. Measure and identify the angle. 1. Place the center of the protractor at the vertex. 2. 4-2. Example 3. Lesson 4-2 Example 3. Measure and identify the angle. 3. 4-2. Example 3. Lesson 4-2 Example 3. Measure and identify the angle.

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Lesson 5-6 Example 2

3-6. Example 2. Lesson 5-6 Example 2. Find 129 ÷ 9. Show the remainder. 1. Rewrite the problem in vertical format. . 1. – 9. 3. 3-6. Example 2. Lesson 5-6 Example 2. Find 129 ÷ 9. Show the remainder.

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Lesson 2-6 Example 3

2-6. Lesson 2-6 Example 3. Kareem traveled 260 miles in 4 hours. At that point, he reduced his rate of speed by 20%. How far did he travel in 2 hours?. Step 1 Find Kareem’s rate of speed at the beginning of the trip. 260 ÷ 4 = 65 miles per hour. 2-6. Lesson 2-6 Example 3.

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Lesson 4-6 Example 5

4-6. Lesson 4-6 Example 5. Solve. RAMPS Mr. Sato is building a wheelchair ramp for his house. The step to the front of the house is 7 inches tall. If he starts the ramp 24 inches away from the step, what is the length of the ramp?. Understand Read the problem. Write what you know.

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Lesson 4-6 Example 4

4-6. Lesson 4-6 Example 4. Find the length of the hypotenuse of the right triangle. Step 1 Find the lengths of the legs a and b. a = 18 and b = 24. 4-6. Lesson 4-6 Example 4. Find the length of the hypotenuse of the right triangle.

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Lesson 2-2 Example 2

2-2. Example 2. Lesson 2-2 Example 2. Round 964 to the nearest ten. 1. Underline the digit in the tens place. 9 6 4. 9 6 4. 2-2. Example 2. Lesson 2-2 Example 2. Round 964 to the nearest ten. 2. Circle the digit in the ones place. It is to the right of 6. 9 6 4. 9 6 4. 2-2.

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Lesson 2-5 Example 4

2-5. Lesson 2-5 Example 4. Solve. ASTRONOMY The equatorial diameter of Jupiter is one hundred forty-two thousand, nine hundred eighty-four kilometers. What is this number in standard form?. Understand Read the problem. Write what you know.

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Lesson 2-4 Example 2

2-4. Example 2. Lesson 2-4 Example 2. Round 7,541 to the nearest thousand. 1. Underline the digit in the thousands place. 7, 5 4 1. 2-4. Example 2. Lesson 2-4 Example 2. Round 7,541 to the nearest thousand. 2. Circle the digit in the hundreds place. It is to the right of 7. 7, 5 4 1.

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Lesson 3-4 Example 2

3-4. Example 2. Lesson 3-4 Example 2. Estimate the sum of 2,564 and 4,877. Then find the actual sum. 1. What is the greatest place value of the numbers?. thousands. 3-4. Example 2. Lesson 3-4 Example 2. Estimate the sum of 2,564 and 4,877. Then find the actual sum.

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Lesson 4-4 Example 3

4-4. Lesson 4-4 Example 3. Find the product of 840 and 5. Estimate first. Step 1 Estimate. 800 × 5 = 4,000. 4-4. Lesson 4-4 Example 3. Find the product of 840 and 5. Estimate first. Step 2 Rewrite the problem in vertical format. 840 × 5. 4-4. Lesson 4-4 Example 3.

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Lesson 4-8 Example 2

4-8. Example 2. Lesson 4-8 Example 2. Find the product of 505 and 7. Estimate first. 1. Estimate. 500 × 7 = 3,500. 4-8. Example 2. Lesson 4-8 Example 2. Find the product of 505 and 7. Estimate first. 2. Rewrite the problem in vertical format. . 505 × 7. 4-8. Example 2.

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Lesson 2-4 Example 4

2-4. Lesson 2-4 Example 4. Round 3,531 to the nearest hundred. Step 1 Underline the digit in the hundreds place. What digit do you underline?. 5. 3, 5 3 1. 2-4. Lesson 2-4 Example 4. Round 3,531 to the nearest hundred. Step 2 Circle the digit in the tens place.

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Lesson 2-3 Example 4

2-3. Lesson 2-3 Example 4. Solve. PUZZLES Use the digits 8, 5, 3, and 4 to write the least possible number that is odd. Use each digit once. Understand Read the problem. Write what you know. Use the digits 8 , 5 , 3 , and 4 . Write the least number that is odd. 2-3.

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Lesson 2-4 Example 1

2-4. Example 1. Lesson 2-4 Example 1. Round 2,732 to the nearest thousand. 1. The nearest thousand to the left of 2,732 is 2,000. 2-4. Example 1. Lesson 2-4 Example 1. Round 2,732 to the nearest thousand. 2. The nearest thousand to the right of 2,732 is 3,000. 2-4. Example 1.

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Lesson 2-4 Example 3

2-4. Example 3. Lesson 2-4 Example 3. Use <, =, or > to compare 2,980 and 2,979. 1. Write both numbers in a place-value chart. 2-4. Example 3. Lesson 2-4 Example 3. Use <, =, or > to compare 2,980 and 2,979. 2. Begin on the left. Compare the digits in the thousands places. 2 = 2. 2-4.

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