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PIT_PIT [208]
3 years ago
5

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

the base and height of the triangle.
Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

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 = \frac{1}{2} × base × height

∴

\frac{1}{2} × (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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