sudhagar wrote:

In a certain right triangle, the sum of the lengths of the

two legs and the hypotenuse is 60 inches. If the hypotenuse

is 26 inches, which of the following is the length of one of

the legs?

A. 24 inches

B. 34 inches

C. 29 inches

D. 16 inches

E. 13 inches

Let a, b be the two legs and c be the hypotenuse

we have: a+b+c = 60 ----> a+b= 60-26=34 ---> b= 34-a

c^2= a^2+b^2= 26^2= 676

Substitute b into the 2nd equation, we get:

a^2+ (34-a)^2= 676 ....solve this quadratic equation, we get a = 24

A it is.