Triangle PQR is a right angled at Q If PQ 6 cm PR 10 cm then QR is equal to ........

Quantitative Aptitude (CPO) Geometry

Triangle PQR is a right-angled at Q. If PQ=6 cm, PR=10 cm, then QR is equal to:

This questions was previously asked in

SSC CPO 14th-March-2019-Shift-1

5 cm

7 cm

9 cm

8 cm

- Triangle PQR is a right triangle, with the right angle at Q.

- We are given that PQ = 6 cm and PR = 10 cm.

- To find QR, we can use the Pythagorean theorem: \( a^2 + b^2 = c^2 \), where c is the hypotenuse.

- Here, PR is the hypotenuse (10 cm), and PQ is one leg (6 cm).

- So, we set up the equation: \( 6^2 + QR^2 = 10^2 \).

- Simplify: \( 36 + QR^2 = 100 \).

- Subtract 36 from both sides: \( QR^2 = 64 \).

- Take the square root: \( QR = 8 \) cm.

- ?? Option 4: 8 cm is the correct answer.

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