09. If sum of parallel sides of trapezium is 25 cm, find the height.
any one who answer step by step i will mark him a brainiest
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Answer =12The altitude of the trapezium is 12 cm.
Step-by-step explanation:
The area of a trapezoid is given by
A = \frac{1}{2} \times(\textrm {Sum of it's parallel side lengths}) \times \textrm {Altitude}A=
2
1
×(Sum of it’s parallel side lengths)×Altitude
Now, it is given that the sum of the parallel sides lengths of the trapezium is 25 cm. and its area is 150 cm².
If the altitude of the trapezium is h, then we can write
\frac{1}{2} \times (25) \times h = 150
2
1
×(25)×h=150
⇒ h = 12 cm.
Hence, the altitude of the trapezium is 12 cm.
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