Question

the parallel side of trapezium are 58 cm and 42cm the non parallel side are each 17 cm find the distance between the parallel side and the area of th e trapezium​

Answer 1

Step-by-step explanation:

formula for the area of a trapezium is A=12h(b1+b2)

From the given information, the trapezium is isosceles. If two heights are constructed from the endpoints of the shorter base (parallel sides), then a rectangle is constructed. The two triangles on the sides of the rectangle are congruent right triangles (this allows us to find the length of 8 [ 58−422=8 ]). Now we have two side lengths of a right triangle, so the Pythagorean Theorem can be used to find the missing side length (the height of the trapezium). 172=h2+82, h = 15.

A=12(15)(58+42)=750cm2

Answer 2

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