1 / 8

EXAMPLE 2

Algebra The base of a triangle is twice its height. The area of the triangle is 36 square inches. Find the base and height. A = bh. 1. 1. 2. 2. 36 = (2 h )( h ). The height of the triangle is 6 inches, and the base is 6 2 = 12 inches. ANSWER. EXAMPLE 2.

mireille-clarke
Download Presentation

EXAMPLE 2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Algebra The base of a triangle is twice its height. The area of the triangle is 36 square inches. Find the base and height. A = bh 1 1 2 2 36 = (2h)(h) The height of the triangle is 6 inches, and the base is 6 2 = 12inches. ANSWER EXAMPLE 2 Solve for unknown measures Let h represent the height of the triangle. Then the base is 2h. Write formula. Substitute36forAand2hforb. 36 = h2 Simplify. 6 = h Find positive square root of each side.

  2. You need to buy paint so that you can paint the side of a barn. A gallon of paint covers 350 square feet. How many gallons should you buy? EXAMPLE 3 Solve a multi-step problem Painting SOLUTION You can use a right triangle and a rectangle to approximate the area of the side of the barn.

  3. 338 = x = 26(18) + 1 (338 ) (338 ) 2 EXAMPLE 3 Solve a multi-step problem STEP 1 Find the length x of each leg of the triangle. 262 = x2 + x2 Use Pythagorean Theorem. 676 = 2x2 Simplify. Solve for the positive value of x. STEP 2 Find the approximate area of the side of the barn. Area =Area of rectangle+Area of triangle =637 ft2

  4. 637 ft2 1.82 gal 1 gal 350 ft2 EXAMPLE 3 Solve a multi-step problem STEP 3 Determine how many gallons of paint you need. Use unit analysis. Round up so you will have enough paint. You need to buy 2 gallons of paint.

  5. 4. A parallelogram has an area of 153 square inches and a height of 17 inches. What is the length of the base? A = b h 153 = x 17 ANSWER Length of the base is 9 in. for Examples 2 and 3 GUIDED PRACTICE SOLUTION Let the length of the base bex Write formula. Substitute153forAand17forhand x forb. x = 9 Simplify.

  6. 5. WHAT IF? In Example 3, suppose there is a 5 foot by 10 foot rectangular window on the side of the barn. What is the approximate area you need to paint? 338 = x for Examples 2 and 3 GUIDED PRACTICE SOLUTION You can use a right triangle and a rectangle to approximate the area of the side of the barn. STEP 1 Find the length x of each leg of the triangle. 262 = x2 + x2 Use Pythagorean Theorem. 676 = 2x2 Simplify. Solve for the positive value of x.

  7. = 26(18) + 1 (338 ) (338 ) 2 A = l b = 5 10 for Examples 2 and 3 GUIDED PRACTICE Find the approximate area of the side of the barn. STEP 2 Area = Area of rectangle + Area of triangle = 637 ft2 Find the area of window. STEP 3 Write formula. Substitute. = 50 ft2 Multiply.

  8. ANSWER You need to paint an approximate area of 587 ft2. for Examples 2 and 3 GUIDED PRACTICE Find the approximate area you need to paint. STEP 4 Area of side of barn – Area of window = 637 – 50 = 587

More Related