Question

Arturo is building a flower bed in the shape of a right triangle. the hypotenuse of the right triangle is 13 feet. one of the legs needs to be 7 feet longer than the other leg.

which equation can be used to find x, the length of the shorter leg?

x(x 7) = 13
x(x 7) = 169
x2 (x 7)2 = 13
x2 (x 7)2 = 169

Answer 1

D. x2 + (x + 7)2 = 169

Explanation:

EDGE 2020 :)

Answer 2

`x^2+(x+7)^2=169`

Explanation:

We are given that

Let length of shorter leg of right triangle=x ft

Length of other leg=x+7 ft

Hypotenuse of right triangle =13 ft

We have to find the equation which can be used to find x, the length of shorter leg.

By pythagorous theorem

`(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2`

Substitute the values then, we get

`(13)^2=x^2+(x+7)^2`

`x^2+(x+7)^2=169`

This is required equation which can used to find x.