Question

In triangle STU, u2 = s2 + t2.

Which equation is true about the measure of the angles of the triangle?

The measure of angle STU is equal to 100 degrees
The measure of angle SUT is equal to 90 degrees
The measure of angle STU plus the measure of angle TSU is equal to 80 degrees
The measure of angle STU plus the measure of angle TSU is equal to 70 degrees

Answer 1

The measure of angle SUT is equal to 90 degrees

Explanation:

Hope it helps!!

Answer 2

(B) The measure of angle SUT is equal to 90 degrees

Explanation:

It is given that in In triangle STU,
`u^2=s^2+t^2`.

We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.

`(Hyp)^2=(Base)^2+(Perpendicular)^2`

that is:

`u^(2)=s^(2)+t^(2)`

where u is the hypotenuse, s is the base and t is the perpendicular.

Thus, the angle SUT should be of 90°.

Thus, The measure of angle SUT is equal to 90 degrees.

Hence, option B is correct.