In a right triangle with sides of lenght and b and a hypoteneuse of lenght c, find the exact value of a if b?

equals 2 square root 5 and c equals 9.

In a right triangle with sides of lenght and b and a hypoteneuse of lenght c, find the exact value of a if b?
a^2 = 9^2 - [2sqrt(5)]^2 = 81 - 20 = 61





a = sqrt(61)
Reply:a^2+b^2=c^2


a^2 = c^2 - b^2





Plug in b and c, simplify, and that is a^2. Take the square root of both sides and that will give you a.
Reply:Pythagorean theorem states that a2 + b2 = c2. (Sorry, those are squares, not times 2's) So, you simply plug in the values of b and c.


a(a) + (2 square roots of 5)squared = (9)(9)


(a)(a) + (4)(5) = (9)(9)





I leave the rest to you.
Reply:square root of 61
Reply:sr61
Reply:square root of 61