###### Asked in Geometry

Geometry

# What are the interior angles of an isosceles trapezoid whose parallel sides are 7.35 cm and 3.44 cm with an area of 53.95 square cm showing work and answer to an appropriate degree of accuracy?

## Answer

###### Wiki User

###### December 20, 2014 12:49PM

Area: 0.5*(7.35+3.44)*height = 53.95 sq cm

Height: (2*53.95)/(7.35+3.44) = 10 cm

The isosceles trapezoid will have right angle triangles at each side with a base of (7.35-3.44)/2 = 1.955 cm and to find the angles use the tangent ratio as follows:-

Tangent^-1(10/1.955) = 79 degrees rounded

Base angles are equal and so therefore angles are: 79, 79, 101 and 101 degrees

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### What are the interior angles of an isosceles trapezoid whose opposite parallel sides are 15 cm and 50 mm with an area of 120 square cm showing work and answer to an appropriate degree of accuracy?

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Height: (2*120)/20 = 12 cm
The trapezoid will have a right triangle each side of it so work
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Tangent^-1(5/12) = 22.62 degrees rounded to 2 decimal places
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The "appropriate degree of accuracy" may be a matter of opinion,
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### What are the interior angles of an isosceles trapezoid whose opposite parallel sides are 3.99 cm and 6.01 cm with an area of 78.25 square cm showing work to an appropriate degree of accuracy?

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