Question

Find the area of the triangle

Answer 1

`Area = 24.8 cm^2`

Explanation:

Given

`PQ = 4.9cm`

`RQ = 11 cm`

`<Q = 113\ degrees`

Required

Find the area of the triangle

When presented with a triangle where two sides are known and an angle between the two sides; The area is solved as follows;

`Area = (1)/(2)ABSinC`

Where A and B are the two known sides and C is the angle between A and B

Having said that;

The area of the triangle is calculated as thus;

`Area = (1)/(2) * RQ * PQ * SinQ`

`Area = (1)/(2) * 11 * 4.9 * Sin113`

`Sin113 = 0.9205`

Hence, the equation becomes

`Area = (1)/(2) * 11 * 4.9 * 0.9205`

`Area = (11 * 4.9 * 0.9205)/(2)`

`Area = (49.6152)/(2)`

`Area = 24.8076`

`Area = 24.8 cm^2` --- Approximated