Back to Explain a proof of the Pythagorean Theorem and its converse — Problem 2 · Task Set 26

Exercises: Proving the Pythagorean Theorem and Its Converse

Work through each section in order. The theorem $a^2 + b^2 = c^2$ relates the legs $a$ and $b$ to the hypotenuse $c$ of a right triangle. Show your reasoning where indicated.

Grade 8·22 problems·~35 min·Common Core Math - Grade 8·container·8-g-b-6

Work through problems with immediate feedback

Recall / Warm-Up

These problems review skills you already know: parts of a right triangle, squares of numbers, and triangle angle sums.

The two acute angles of a right triangle measure $37\degree$ and $x$ . What is $x$ ?

$53\degree$

$143\degree$

$63\degree$