moorean2
contestada

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

Respuesta :

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

[tex] \dfrac{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[/tex]

The base of triangular garden is 5 yards longer than the height:
[tex]8+5=13\quad\checkmark\ Base[/tex]

HOPE THIS HELPS...!!
Ver imagen hermentotiph

Otras preguntas