Question

The hypotenuse of a right angle triangle is 13cm.if one other side of the triangle is 1cm shorter than the hypotenuse.calculate the third scale of the triangle
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Answer 1

Given:-

• The hypotenuse of a right angle triangle is 13cm.

• One other side of the triangle is 1cm shorter than the hypotenuse.

To find out:-

Find the third scale of the triangle .

Solution:-

Let the third Side be x.

According to the question,

★ Hypotenuse = 13 cm

★ Other side = Hypotenuse - 1 [ Given ]

= 13 cm - 1 cm

= 12 cm

Now,

By pythagoras theorem,

13² = 12² + x²

⇒ 169 = 144 + x²

⇒ x² = 169 - 144

⇒ x² = 25

⇒ x = √25

⇒ x = 5 cm

Hence, the third scale of the triangle is 5 cm.