Math, asked by MUNDAYIL, 2 months ago

in the following figure, find the area of
shaded portion

plss give answer ​

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Answers

Answered by hareekshithasp3se3v
1

Step-by-step explanation:

Coming to the side UQ using Pythagoras theorem

UQ² = sqrt (UR² + RQ²)

= sqrt (20² + 40²)

= sqrt (400 + 1600)

= sqrt (2000)

UQ = 44.72 cm

Coming to the side TU using Pythagoras theorem

TU² = sqrt (SU² + ST²)

= sqrt (20² + 20²)

= sqrt (400 + 400)

= sqrt (800)

TU = 28.28cm

Coming to the side TQ using Pythagoras theorem

TQ² = sqrt (PQ² + PT²)

= sqrt (20² + 40²)

= sqrt (400 + 1600)

= sqrt (2000)

TQ = 44.72 cm

As we have found the three sides, we move on to find the area.

Semiperimeter = 62.86

I have rounded of for all values to make the sum simpler

Area = sqrt (63(63-45)(63-45)(63-28))

= sqrt (63×18×18×35)

= sqrt (7×9×9×2×9×2×7×5)

= 7×9×2×3 (5)^½

Area of the given triangle = 378 (5)^½

Give a thanks if you are satisfied

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