Question

The base of a triangular garden is 5 yards longer than the​ height, and the area of the garden is 52 square yards. The height of the triangle is

Answer 1

GIVEN:
X: Height.
(X + 5): Base.
Area: 52 yd².
SOLVING:
Area formula:
`\boxed{A= ((base)*(height))/(2)}`


`(X(X + 5))/(2)=52\\ \\X(X+5)=2(52)\\ \\X ^(2)+5X=104\\ \\X ^(2)+5X-104=0\\ \\(X+13)(X-8)=0\\ \\ \\X_(1)=-13\quad\to\ Negative\ value\ discarded.\\ \\X_(2)=8\quad\checkmark\ Height.\ ===>\ ANSWER`

The base of triangular garden is 5 yards longer than the height:

`8+5=13\quad\checkmark\ Base`

HOPE THIS HELPS...!!