work out the area of the triangle to 1 decimal place. 10cm, 13cm, 105 degrees
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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