Question

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles. This is a triangle. side a has a length of 12 yards. side b has a length of 20 yards. side c has a length of 28 yards. The altitude to side c has a length of X yards.

Answer 1

The altitude of side C is 7.42 yards.

Formula for area of triangles

1/2bh for triangles with known base and height,

1/2absin∅ for triangles such as scalene triangle with known sides and an angle.

Analysis:

Firstly we find the angle facing side c using cosine rule

cos∅ = $\frac{12^{2} + 20^{2} - 28^{2} }{2 x 12 x 20}$ = -0.5

∅ = cos inverse of - 0.5 = 120°

Area of triangle = 1/2absin∅ = 1/2 x 20 x 12 sin 120 = 1/2 x 28 x X

where X = height

by evaluating X = 7.42 yards

In conclusion, the height of the triangle is 7.42yards

Learn more about triangles: brainly.com/question/191934

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