Question

Find the area of the triangle below.Carry your intermediate computations to at least four decimal places. Round your answer to the nearest hundredth.12m 7 m 33

Answer 1

Answer;

22.88m

Step-by-step explanation

The formula for finding the area of the trinagle is expressed as;

`A\text{ = }(1)/(2)ab\text{ sin}\theta`

a and b arethe sides of the triangle

theta is the central angle between the sides

Given

a = 12m

b = 7m

theta = 33 degrees

Substitute the given values into the formula as shown;

`\begin{gathered} A\text{ = }(1)/(2)\cdot12\cdot7\text{ sin 33} \\ A\text{ = 6 }\cdot\text{ 7 sin33} \\ A\text{ = 42sin33} \\ A\text{ = 42(}0.5446\text{)} \\ A\text{ }\approx\text{ }22.88m \end{gathered}`

Hence the area of the triangle to the nearest hundredth is 22.88m