In an isosceles trapezoid, the longest base is 11", a leg is 5", and the height is 4". Find the length of the shorter base of th

Question

Airida [17]

3 years ago

12

In an isosceles trapezoid, the longest base is 11", a leg is 5", and the height is 4". Find the length of the shorter base of th

e trapezoid.

Mathematics

1 answer:

nika2105 [10] · Answer 1 · 2022-04-11T01:11:35+03:00

TeUpon examination of the dissection of the trapezoid on each side, we can see that we can make out two isosceles triangles on each side. The angle on the corners of the base can be determined by sine function. we can also use pythagorean theorem, in which the other length is equal to 3". This leaves the shorter base equal to 11-2*3 equal to 5"