Question

Area of a right circular triangle is 54 sq. cm. If one of its legs is 12 cm long, what is its perimeter?
Please help me.. I will mark as brainliest.

Answer 1

Answer:

search-icon-header

Search for questions & chapters

search-icon-image

Question

Bookmark

Area of a right triangle is 54 cm

2

. If one of its legs is 12 cm long. Its perimeter is

Medium

Solution

verified

Verified by Toppr

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

Answer 2

Answer:

$\huge\fbox{☘Answer}$

Area of right angled triangle

= 1/2 × base × height = 54

Taking base as 12 cm we get

1/2 × 12 × height = 54

=> 6 × height = 54

=> height = 54/6

=> height = 9 cm

So we have its two sides as 12cm and 9cm

Now we will have to find the hypotenuse to find the perimeter of the figure.

=> Hypotenuse² = base² + height²

=> Hypotenuse² = 12² + 9²

=> Hypotenuse² = 144 + 81

=> Hypotenuse² = 225

=> Hypotenuse = √225

=> Hypotenuse = 15 cm

So the perimeter = sum of all sides.

=> Perimeter = 12 + 9 + 15

=> Perimeter = 36 cm

Answer :- 36 cm