The base of a triangle is seven more than twice the height. The area of the triangle is 135 square meters. Find the measures of
1 answer:
Answer:
Height = 10 m
Base = 27 m
Step-by-step explanation:
The base of a triangle is seven more than twice the height
The area of the triangle is 135 m²
Height = x
Base = 2x + 7
Area of a triangle = × base × height
∴
× (x) × (2x + 7) = 135
2x² + 7x - 270 = 0
Applying the quadratic formula we get;
x = 10 or -13.5
Since we can't have a length being negative, the height of this triangle is 10 m
The base = 2(10) + 7 = 27
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