the length of each equal side of an isosceles triangle is 20m and the angle between them is 45° find the area of the triangle
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Answer:
The third side =28.28 cm,
The area =200 cm squared
Explanation:
There are two ways you can use:
First way: using our knowledge of the two special triangles, we know that the ratio of the legs of a 45-45-90 triangle is 1:1:√2
so 20√2=28.28 cm
The second method: using trigonometry we know that sin45=opphyp
0.7071=20hyp
hyp=28.28 cm
The area of a triangle is A=12bh
since the base and height are both =20
A=12⋅20⋅20
The area =200 cm squared
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