Respuesta :
The base and height of triangle are 25 and 22 feet.
We are given the relation between base and height of triangle. Let us represent height with h and base with b. The equation relating the two quantities is as follows -
h = b - 3
Now, the area of triangle is given by the formula -
Area = 1/2 × base × height
Keep the values in formula to find the base of triangle
275 = 1/2 × b × (b-3)
550 = b × (b-3)
b² - 3b - 550 = 0
b² + 22b - 25b - 550 = 0
b (b + 22) -25 (b + 22) = 0
(b + 22) (b - 25) = 0
b = -22 and 25
As the value of base can not be negative, so, the base of triangle is 25 feet.
Calculating height of triangle-
Height = Base - 3
Height = 25 - 3
Height = 22 feet
Hence, the base and height of triangle are 25 and 22 feet.
Learn more about calculations of triangle -brainly.com/question/17335144
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