Question

An isosceles trapezium ABCD
Tas non parallel sides are
ABCD has parallel sides 10 cm and 18 cm.
des are 5 cm each. Find its height and area.
10 cm
B
Draw BE IDE and BF || AD
Hint: Draw BE
BF = 5 cm, EF = 5 FC = 4 cm. Find BE.]
18 cm
al sides of a trapezium are 60 m and 75

Answer 1

Given:

ABCD is an isosceles Trapezium

Parallel sides are 10 cm and 18 cm

Non-parallel side is 5cm

To Find:

Height and area of the the figure

* See attached for the visual representation of the question.

Find the length DE:

Find the height AE:

Triangle ABE is a right angle triangle. So we can use Pythagoras Theorem to find the missing side.

Answer: The height is 3 cm.

Find the area of the trapezium:

Answer: The area is 42 cm²

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