Question

21. Mohini wishes to fit three rods together in the shape of a right triangle. If the hypotenuse
is 2 cm longer than the base and 4 cm longer than the shortest side, find the lengths of
the rods.​

Answer 1

Answer:

Base = 6;

Height = 8;

Hypotenuse = 10;

Step-by-step explanation:

x = length of height

y = length of base

it states that hypotenuse = y + 2 = x + 4

by simpliyfing y=x+2

so by pythogoreus theorm we know that

$x^{2} +y^{2} =hypothenus^{2}$

so

x^2+y^2 = (y+2)^2

x^2+(x+2)^2 = (x+2+2)^2

x^2+x^2+4+4x = x^2+16+8x

x^2-4x-12=0

roots are x= 6 and -2

so x=6

y=8

hypothenuse is 10