Question

PLEASE HELP VERY URGENT

Suppose you know the following facts about angle ABC and angle DEF: (1) both triangles have sides of length a and b (2) For angle ABC, a^2 + b^2 = c^2 (3) For angle DEF, angle F is a right triangle. Use the list of expressions below to find the value of c in angle ABC and the length of the hypotenuse of angle DEF.

The value of c in angle ABC is _______ and the length of the hypotenuse of angle DEF is ________.

A. square root of a^2 + b^2
B. a^2 + b^2
C. b^2 - a^2
D. square root of a^2 - b^2
E. a^2 - b^2
F. square root of b^2 - a^2

(if u have trouble reading the text look at the attached photo for the question)

Answer 1

√(a² + b²) is the answer as

Explanation:

both ABC AND DEF are right triangles...

So Pythagoras theorem will work here