Question

Find the area of thetriangle.7 ft2 ft88°

Answer 1

Hello there. To solve this question, we have to remember some properties about triangles.

Given the following triangle:

We want to determine its area.

For this, recall that for a triangle that were given two sides and an angle between them, the formula for its area is:

In this case, a = 2, b = 7 and θ = 88º, therefore we have

`A=(2\cdot7\cdot\sin(88^(\circ)))/(2)=7\sin(88^(\circ))`

Using a calculator, we find that

`A\approx7\cdot0.99939=6.99573\text{ ft}^2`

Or you can round it to the nearest integer, therefore

`A=7\text{ ft}^2`

This is the area of this triangle.