Area of a right-angled triangle is 30 cm2. If its smallest side is 5 c

1.	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) 11 cm
Answer» (b) 13 cm We know that, area of triangle = ½ × base (small side) × height 30 = ½ × 5 cm × height Height = (30 × 2)/5 Height = 60/5 Height = 12 cm By the rule of Pythagoras theorem, Hypotenuse² = height² + base² Hypotenuse² = 12² + 5² Hypotenuse² = 144 + 25 Hypotenuse²= 169 Hypotenuse = √169 Hypotenuse = 13 cm

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) 11 cm

Answer»

(b) 13 cm

We know that, area of triangle = ½ × base (small side) × height

30 = ½ × 5 cm × height

Height = (30 × 2)/5

Height = 60/5

Height = 12 cm

By the rule of Pythagoras theorem,

Hypotenuse² = height² + base²

Hypotenuse² = 12² + 5²

Hypotenuse² = 144 + 25

Hypotenuse²= 169

Hypotenuse = √169

Hypotenuse = 13 cm