Question

The area of a right triangle is 54 sq cm. if base is 12cm long then its height is

18 cm

9 cm

36 cm

54 cm​

Answer 1

Answer:

9cm

Step-by-step explanation:

1/2×12×h=54

h=54×2×1/12

h=9cm

Answer 2

36 cm

The area of a right triangle is 54 sq cm. if base is 12cm long then its height is 36 cm

Explaination

Given :

• The area of a right triangle is 54 sq cm
• Base = 12 cm

To find :

• Height

Solution :

Area of right angled triangle = 54cm²

or

$\frac{1}{2} \times b \times h = 54$

or

$\frac{1}{2 } \times b \times 12 = 54 \: \\ b = 9cm$

Therefore ,

Perpendicular = 12 cm .

Base = 9 cm.

$Hypotheses = \sqrt{12 {}^{2} + 9 {}^{2} } = 15cm$

Therefore ,

Perimeter = 12 + 9 + 15 = 36 cm

Hence, The Correct Option is Option C 36 cm ✓