The hypotenuse of a right triangle, whose sides are integers, is 17 cm. lts area in sq.cm is 

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CSIR-UGC (NET) Mathematical Science: Held on (2024 June)
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  1. not calculable due to insufficient data 
  2. 60
  3. 68
  4. 225

Answer (Detailed Solution Below)

Option 2 : 60
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10 Qs. 20 Marks 15 Mins

Detailed Solution

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Explanation:

We are given that the hypotenuse of a right triangle is 17 cm, and the sides are integers. 

Here the sides of the triangle are integers, so the triangle is a Pythagorean triplet.

The Pythagorean triplet involving 17 as the hypotenuse is (8, 15, 17).

Now, the area  of a right triangle is given by 

For the triplet (8, 15, 17); Base = 8 cm, Height = 15 cm

So the area is 

Thus, the correct answer is Option 2).

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