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 = [tex]\frac{1}{2}[/tex] × base × height
∴
[tex]\frac{1}{2}[/tex] × (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
