Question

two parallel sides of a Trapezium are 58 cm and 42 CM the another two side are of equal size equal length which is 17 cm find the area of trapezium ​

Answer 1

Answer: 750 cm²

Step-by-step explanation:

A formula for the area of a trapezium is A=1/2h(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[58−42/2=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=1/2(15)(58+42)=750cm²