Question

The parallel sides of a trapezium are 46cm and 25cm. Its non- parallel sides are 20cm and 13 cm. Find the distance between the parallel sides and the area of the trapezium.
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Answer 1

Answer:

height is 12 cm and area 276cm

Step-by-step explanation:

CF= DC-CF

46-25

21

Consider triangle BCF

Perimeter is 20+13+21

54

semiperimeter

54÷2= 27

heron formula

√27(27-20)(27-21)(27-13)

√15876

126cm square

height= length between parallel sides

area of triangle = 1/2 × base × height

126=1/2×21×h

height = 12 cm

area of trapezium

= 25+21/2 × h

25+21/2 × 12

area of trapezium

= 276 sqcm square

Hope it helps

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