Question

:
Area of a right triangle is 54 cm. If one of its legs is
12 cm long, its perimeter is
(a) 18 cm (b) 27 cm
(c) 36 cm (d) 54 cm​

Answer 1

Answer:

Answer

Correct option is

C

36cm

We know

Area =

2

1

×length×height

=

2

1

×ab

P(perimeter)=a+b+

a

2

+b

2

P=a+

a

2

+4(A/a)

2

+2

a

A

=12+

(12)

2

+4(

12

54

)

2

+2

.

12

54

=36cm

solution

Answer

Correct option is

C

36cm

We know

Answer 2

Answer:

Step-by-step explanation:

area of triangle = 54cm²

1/2 x b x h = 54

1/2 x b x 12 = 54

6b = 54

b = 9cm

By Pythagoras Theorem,

Hypotenuse² = Base² + Perpendicular²

AC² = AB² + BC²

AC² = (12)² + (9)²

AC² = 144 + 81

AC² = 225

AC = 15cm

The perimeter of triangle = AB + BC + AC = 12 + 9 + 15 = 36cm

(c) 36cm

Hope it helps u...