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
llm
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