Find the length of the hypotenuse of a right triangle if a = 3 and b = 4.

A) 3.5

B) 5

C) 6

D) 7

5..(b)

Step-by-step explanation:

Pythagoras theorem states that

Hypotenuse(squared)=opposite(squared)+ adjacent(squared)

hypotenuse=?,opposite=3,adjacent=4

hyp(squared)=3(squared)+4(squared)

hyp(squared)=9+16

hyp(squared)=25

find the square root of both sides

hypotenuse=5

.

step-by-step explanation:

.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.