Respuesta :
Answer with Step-by-step explanation:
Given: A right triangle whose legs has lengths equal to 10 inches and 9x inches and Its hypotenuse measures (x + 10) inches.
According to the pythagoras theorem, sum of square of the legs of a right angle triangle equals the square of hypotenuse.
so, 10²+(9x)²=(x+10)²
i.e. 100+81x²=x²+100+20x
80x²-20x=0
20x(4x-1)=0
so, either x=0 or x=1/4
x=0 is not possible since length of one leg is 9x and it can't be zero
Hence, x=1/4 i.e. x+10=10+1/4
= 10.25
so, approximate length of hypotenuse=10.25 inches
