Question

Work out the area of triangle give your answer to 1 decimal place ​

Answer 1

Given:

Given that the triangle.

Let the length of the side a be 10 cm.

Let the length of the side b be 13 cm.

Let the measure of ∠C is 105°

We need to determine the area of the triangle.

Area of the triangle:

The area of the triangle can be determined using the formula,

$A=\frac{1}{2} a b \ sin \ c$

Substituting a = 10, b = 13 and ∠C = 105°, we get;

$A=\frac{1}{2}(10)(13) \ sin \ 105$

Simplifying, we get;

$A=\frac{1}{2}(10)(13)(0.966)$

$A=\frac{1}{2}(125.58)$

$A=62.79 \ cm^2$

Rounding off to 1 decimal place, we have;

$A=62.8 \ cm^2$

Thus, the area of the triangle is 62.8 cm²