The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse ang

Question

Leviafan [203]

3 years ago

11

The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse ang

les is 135°. Find the area of the trapezoid.

Mathematics

1 answer:

Alexeev081 [22] · Answer 1 · 2022-08-08T19:01:33+03:00

I'm not sure what level of math you are at, so I hope it's alright that I used the trig function of tangent. Basically, you just have to find the second base to be able to find the area using the formula for the area of a trapezoid (A = ½h(b₁ + b₂)). To do this, use the information given and a little creativity to create a triangle and find the missing pieces. Finally, plug everything into the equation and voilà. Hope that helps!