work out the area of the triangle to 1 decimal place. 10cm, 13cm, 105 degrees
![work out the area of the triangle to 1 decimal place 10cm 13cm 105 degrees class=](https://us-static.z-dn.net/files/d52/5a952edcc1fbb22065b7a0c923b22d5b.png)
Answer:
Area = 62.8 cm²
Step-by-step explanation:
In the figure attached a triangle has been given with two sides and included angle between them.
Measures of two sides are 10 cm and 13 cm.
Measure of included angle = 105°
Since area of a triangle with two sides (a and b) and included angle (θ) is,
[tex]\text{Area}=\frac{a.b.\text{sin}\theta}{2}[/tex]
= [tex]\frac{10\times13\times \text{sin(105)}}{2}[/tex]
= 62.79
≈ 62.8 cm²
Therefore area of the given triangle is 62.8 cm²