Question

in the following right angled triangle . find the length of the unknown side .

is the answer is correct or not ​

Answer 1

Yes, You are correct

Answer is 10 cm

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Answer 2

Answer :

›»› The length of the unknown side is 10 cm.

Step-by-step explanation :

Given :

• The length of PR = 26 cm.
• The length of QR = 24 cm.

To Find :

• The length of unknown side, PQ = ?

Knowledge required :

The Pythagoras theorem is defined as the square of hypotenuse of the right angle triangle is equal to the sum of square of perpendicular and square of base.

Formula to calculate the base or PQ is given by,

→ h² = p² + b².

This formula is known as Pythagoras theorem.

Here,

• h is the hypotenuse.
• p is the perpendicular.
• b is the base.

Units,

• The unit of hypotenuse is cm.
• The unit of perpendicular is cm.
• The unit of base is cm.

Solution :

We know that, if we are given with the hypotenuse of right angle triangle and perpendicular of right angle triangle then we have the required formula, that is,

→ h² = p² + b².

By using the formula of pythagoras theorem to calculate the base or PQ and substituting all the given values in the formula, we get :

→ (PR)² = (QR)² + (PQ)²

→ (26)² = (24)² + (PQ)²

→ 676 = (24)² + (PQ)²

→ 676 = 576 + (PQ)²

→ PQ² = 676 - 576

→ PQ² = 100

→ PQ = √100

→ PQ = 10.

Hence, the length of the unknown side is 10 cm.