The hypotenuse of right triangle is 26 inches long. The difference between the other two sides is is 14 inches. Find the missing sides. Use exact values.

Answer 1

h^2=a^2+b^2

26= (b-14)^2+b^2

2b^2-28b +14^2-26^2

b^2-14b-240=0

(b+10)(b-24)=0

b=24

a=24-14=10

other sides are 10 inches and 24 inches

it's a right triangle in ratio of sides

5:12:13

multiply by 2

10,24,26

26^2 = 24^2 + 10^2