Picklehead15271 Picklehead15271
  • 15-07-2022
  • Mathematics
contestada

An isosceles triangle has a vertex angle of 21.21°. two sides of the triangle are each 17.91 ft long. find the area of the triangle.

Respuesta :

tanvigupta426 tanvigupta426
  • 20-07-2022

The Area of triangle is A= 58.02 (ft)^2

According to statement

Let

B is the measure of the vertex angle of the isosceles triangle ABC

A and C is the two congruent sides of the isosceles triangle ABC

we know that

The area of a triangle applying the law of sines is equal to the

A= 1/2 *AC *SinB

we have

A=C= 17.91 ft

And

B= 21.21

Substitute these values in the formula

A= 1/2* 17.91* 17.91 * Sin(21.21)

A= 58.02 (ft)^2

So, the Area of triangle is A= 58.02 (ft)^2

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