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

The answer is x(x+7)=169 because the formula for a right triangle is a^2+b^2=c^2. With that said 13 squared as the hypotenuse is 169. since ether is one side that has to be 7 feet longer than the other side that means you add 7 to the unknown length, x. Then you still have to add x into the equation considering it is still aprat of the problem. HOPE THIS HELPS!!!

Answer 2

Answer:

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

Step-by-step 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.