Question

One side of a right angled triangle is 20 inches and the hypotenuse is 10 inches longer than the other side.

The hypotenuse is (in inches)​

Answer 1

Answer:

25inches

Step-by-step explanation:

for right angle triangle

base² + height ² = hypo².......1

given , one side (let b) = 20in

other side = x (assumed)

hypo=.> (x+10)in given

putting above value in , equation 1

we get, 20² + x² = (x+10)²

=> 400+x² = x² + (10)² + 2(10)(x)

=> 400 = 100 + 20x

=> 20x = 300

=> x = 15

hypoteneus = x+10

hence, h = 15+10 = 25inches