Question

8) Sandy tells you that she drew a right triangle with the side lengths of 8.4 cm, 14 cm, and 11.2 cm.

Is she correct? Explain why or why not. Show your work.

Answer 1

Yes, she can drew a right triangle with these sides

Explanation:

To answer this question we first have to prove the Pythagorean theorem

h = hyoptenuse

a = leg 1

b = leg2

h² = a² + b²

We have to replace the values ​​that they gave us in this formula

The hypotenuse always has to be the longest side of a right triangle

(14cm)² = (11.2cm)² + (8.4cm)²

196cm² = 125.44cm² + 70.56cm²

196cm² = 196cm²

As we can see, equality is fulfilled, so she is correct