Question

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Q.)A triangle and a parallelogram have the same base and same area. If the sides of the triangle or 126cm,120 cm and 130 cm and the parallelogram stands on the base 120 cm. Find the corresponding height of the parallelogram.

Pls answer rast. ​

Answer 1

Answer:

56.50 cm

Step-by-step explanation:

Given, Sides of triangle are:

a = 126 cm.

b = 120 cm

c = 130 cm

∴ s = (a + b + c)/2

     = (126 + 120 + 130)/2

     = 376/2

     = 188 cm.

∴ Area of triangle:

= √s(s - a)(s - b)(s - c)

= √188(188 - 126)(188 - 120)(188 - 130)

= √188 * 62 * 68 * 58

= 6780.211

Now,

Let the height of the parallelogram be h cm.

Then,

Area of parallelogram = b * h

                                     = 120 * h cm²

According to the given condition,

⇒120h = 6780.211

⇒ h = 6780.211/120

⇒ h = 56.50 cm

∴ Height of the parallelogram = 56.50 cm.

Hope it helps!

Answer 2

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