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satela [25.4K]
3 years ago
10

The two parallel sides of a trapezium are 19.8 and 7.2 and its area is 135 cm²..find its height

Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer:

10cm

Step-by-step explanation:

the formula for an area of a trapezium:

\frac{(a + b) \times h}{2}  = area

where a and b are the parallel sides and h is the height. equating what we have:

\frac{(19.8 + 7.2) \times h}{2}  = 135

simplify the numerator by adding 19.8 and 7.2=27

\frac{27h}{2}  = 135

multiply both sides by 2

27h = 270

divide both sides by 27

h =  \frac{270}{27}  = 10

the height is 10cm

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