Question

ABCD IS AN ISOCELES TRAPEZIUM IS PARALLEL SIDE MEASURE 13 CM AND 25 CM ITS NON PARALLEL SIDES ARE EQUAL AND MEASURE 10 CM FIND THE AREA OF TRAPEZIUM

Answer 1

The non-parallel sides of the trapezium are equal - it is an isosceles trapezium. WLG, let us consider the 25 cm side to be the base. The difference in the lengths of the parallel sides is 25−13=12 cm25−13=12 cm. This will be split equally on both sides as the ‘extra’ or extending part of the base.

Now, you’ve got right angled triangles on both the sides, with a hypotenuse of length 10 cm10 cm and a base of 122=6 cm122=6 cm.

From Pythagoras’ Theorem, we can determine the height of the triangle to be 8 cm8 cm. The lengths of the sides are a Pythgorean triplet.

So, the area, ΔΔ is:

Δ=12×8 cm×(25+13) cm

Answer 2

See the attached file