In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if c=9 and a=7

Mathematics · College · Tue Nov 03 2020

Answered on

Given:

c = 9

a = 7

Find b.

Pythagorean Theorem:

c^2 = b^2 + a^2

b^2 = c^2 - a^2

b = √(c^2 - a^2)

Solution:

Substitute the given values of c and a to the formula of b in order to find the other leg.

b = √(c^2 - a^2)

b = √((9)^2 - (7)^2)

b = √(81 - 49)

b =  √32

b = 5.65

Final answer:

b = 5.65

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