Question

Look at triangle STU:

A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 12 cm and the length of side TU is labeled as 16 cm.
What is the length (in centimeters) of side SU of the triangle? (1 point)

Question 9 options:

1) 20

2) 22

3) 24
Help

4) 28

Answer 1

1) 20

Explanation:

I drew a diagram of the triangle described below.

Note that we can use the Pythagorean Theorem, which states a^2 + b^2 = c^2 where a and b are the legs of the triangle and c is the hypotenuse.

We can apply this here. Since ST and TU are the legs and SU is the hypotenuse we can solve for SU:

SU = square root (12^2 + 16^2) = square root (400) = 20

I hope this helps! :)