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.
