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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?
Wiki User
∙ 9y ago
Area: 0.5*(15cm+5cm)*height = 120 square cm
Height: (2*120)/20 = 12 cm
The trapezoid will have a right triangle each side of it so work out the tangent ratio:
Tangent^-1(5/12) = 22.62 degrees rounded to 2 decimal places
Therefore the interior angles are: 22.62, 22.62, 157.38 and 157.38 degrees
Check: 22.62+22.62+157.38+157.38 = 360 degrees
The "appropriate degree of accuracy" may be a matter of opinion, but 23, 23, 157 and 157 should be acceptable.
Wiki User
∙ 9y ago
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