Math, asked by sheinu2005, 5 months ago

. The hypotenuse of a right angled triangle is 25cm and its perimeter 56cm. Find the

length of the smallest side.


Answers

Answered by sankuvivek05
1

Answer:

The length of the smallest side is 7cm

Answered by anmita18
1

Answer:

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Sum of 2 sides + hypotenuse = 56

sum of 2 sides = 56-25

Sum of 2 sides = 31 cm

Let 1 side of triangle be x

Other side = (31-x)cm

By pythagorus theorum,

AC² = AB² + BC²

25² = x² + (31-x)²

625 = x² + 961 + x² - 62x

2x² - 62x + 961 - 625

2x² - 62x + 336

x² - 31x + 168

x² -24x - 7x +168

x(x-24) -7 (x-24)

(x-7)(x-24)

x = 7 or x = 24

Length of smallest side is 7cm

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Step-by-step explanation:

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