Question

the hypotenuse of a right triangle is 17cm long. if one of the remaining two sides is of length 8cm, find the length o f the third side​

Answer 1

Answer:

We are given the hypotenuse and the length of one side.

Let the unknown side be x.

By Pythagorean theorem,

→ a²+b²=c²

So,

→ 8²+x² = 17²

→ x²=225

→ x² = 15²

x=15

Thus the length of the other side is 15cm.

Answer 2

Given :-

• Hypotenuse = 17cm
• One side ( Perpendicular ) = 8cm

To Find :-

• Second Side ( Base )

Solution :-

★ Using Pythagoras Theorem ★

⇒ (Hypotenuse)² = (Perpendicular)² + (Base)²

⇒ ( 17 )² = ( 8 )² + (Base)²

⇒ 289 = 64 + (Base)²

⇒ 289 - 64 = (Base)²

⇒ 225 = (Base)²

⇒ √225 = Base

⇒ 15cm = Base

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Verification :-

⇒ (Hypotenuse)² = (Perpendicular)² + (Base)²

⇒ ( 17 )² = ( 8 )² + ( 15 )²

⇒ 289 = 64 + 225

⇒ 289 = 289

Hence, Verified

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So, the Second. Side is of 15cm

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