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:
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
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