NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 9: Perimeter and Area - Multiple Choice Questions
Question 18

Question.  18

18. Area of a right-angled triangle is 30 cm². If its smallest side is 5 cm, then its hypotenuse is

(a)

(a) 14 cm

(b)

(b) 13 cm

(c)

(c) 12 cm

(d)

(d) 11 cm

Detailed Answer with Explanation:

Let smaller side = 5 cm, other side = x.

Area = \( \tfrac{1}{2} \times 5 \times x = 30 \implies x = 12 \).

Hypotenuse = \( \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 \, cm \).

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 9: Perimeter and Area – Multiple Choice Questions | Detailed Answers