A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32
centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.5 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
cm.
The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter is
(Round to the nearest tenth as needed.)

of right angle triangle! .

Step-by-step explanation:

Here we have , A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32  centimeters, and the length of the other leg is 25 centimeters. The student incorrectly says that the  length of the hypotenuse is 7.5 centimeters. We need to find:

A)

We have , One length as 32 cm and other as 25 cm , as

By Pythagoras Theorem ,

⇒

⇒

⇒

⇒

So , of right angle triangle! .

Answer

B) Segment FH over segment FI equals serment HG over segment IE.

Explanation

This is because in similar triangles, the sides are ratios/multiples of each other.

E.g.

Small Triangle

Hypotenuse = 5
Adjacent = 3
Opposite = 4

Big Triangle

Hypotenuse = 10
Adjacent = 6
Opposite = 8

All sides in big triangle are twice that of the small triangle.

Consider ratio of hypotenuse and adjacent

5/10 = 3/6

This is the same value.

The other statements can be elements of triangles without them needing to be similar