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# The area of a right-angled triangle is 30 cm². If its smallest side is 5 cm, then its hypotenuse is

(a) 14 cm

(b) 13 cm

(c) 12 cm

(d) 11cm

**Solution:**

Given, area of a right-angled triangle is 30 cm²

The length of the smallest side is 5 cm

We have to find the length of the hypotenuse.

Area of triangle = 1/2 × base × height

30 = 1/2 × 5 ×& height

Height = 30(2)/5

Height = 6(2)

Height = 12 cm

By using Pythagoras theorem,

(Hypotenuse)² = (height)² + (base)²

&(Hypotenuse)² = (12)² + (5)²

(Hypotenuse)² = 144 + 25

(Hypotenuse)² = 169

Taking square root,

Hypotenuse = 13 cm

Therefore, the hypotenuse is 13 cm.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**✦ Try This: **The area of a right-angled triangle is 20 cm². If its smallest side is 4 cm, then its hypotenuse is

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 18**

## Area of a right-angled triangle is 30 cm². If its smallest side is 5 cm, then its hypotenuse is (a) 14 cm, (b) 13 cm, (c) 12 cm, (d) 11cm

**Summary:**

Area of a right-angled triangle is 30 cm². If its smallest side is 5 cm, then its hypotenuse is 13 cm

**☛ Related Questions:**

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