7.2 The Pythagorean Theorem and its Converse. What you’ll learn: To use the Pythagorean Theorem To use the converse of the Pythagorean Theorem. Theorem 7.4. The Pythagorean Theorem
What you’ll learn:
To use the Pythagorean Theorem
To use the converse of the Pythagorean Theorem
The Pythagorean Theorem
In a right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.
Converse of the Pythagorean Theorem
If the sum of the squares of the measures of 2 sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle.
then ABC is a right .
Pythagorean Triple – 3 whole numbers that satisfy the equation a²+b²=c².
Some common Pythagorean triples are:
3,4,5 7,24,25 8,15,17 9,40,41
More triples can be created by multiplying the numbers by a constant.
3,4,5 6,8,10 15,20,25 30,40,50
A(2,7), B(3,6), C(-4,-1)
Determine whether each set of numbers can be the measure of the sides of a right triangle. Then state whether they form a Pythagorean Triple.