Heyyyyyyyyyyyyyy answer it
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Answers
Answer:
12 cm
Step-by-step explanation:
Given, Sides of a triangle are 26cm,28cm and 30cm.
Let a = 26 cm, b = 28 cm, c = 30 cm.
We know that s = (a + b + c)/2
= (26 + 28 + 30)/2
= 42 cm.
∴ Area of triangle = √s(s - a)(s - b)(s - c)
= √42(42 - 26)(42 - 28)(42 - 30)
= √42 * 16 * 14 * 12
= √112896
= 336 cm².
∴ Let height of the parallelogram be 'h' cm.
We know that Area of parallelogram = base * height
= 28 * h
Now,
Given that Area of triangle and parallelogram have the same base and area
⇒ Area of triangle = Area of parallelogram
⇒ 336 = 28 * h
⇒ 336/28 = h
⇒ h = 12.
Therefore, height of the parallelogram = 12 cm.
Hope it helps!