A triangle and parallelogram have the same base and
the same area. If the sides of the triangle are 34 cm,
42 cm and 20 cm, then the height of parallelogram
having base 42 cm, is equal to .......... cm
Answers
Answer:
The above answer is incorrect
Correct ans is 16cm
Explanation: See the above pic
Given : A triangle and parallelogram have the same base and the same area.
The sides of the triangle are 34 cm, 42 cm and 20 cm,
To Find : the height of parallelogram having base 42 cm
Solution:
The sides of the triangle are 34 cm, 42 cm and 20 cm,
s = ( 34 + 42 + 20)/2 = 48
Area = √(48)(48 - 34)(48 - 42) (48 - 20)
=> Area = √48 * 14 * 6 * 28
=> Area = √2 * 4 * 6 *2 * 7 * 6 * 4 * 7
=> area = 2 * 4 * 6 * 7
=> Area = 42 * 8
Area of parallelogram = Base * height
Hence height of the parallelogram = 8 cm
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