Math, asked by darkdevil5763, 3 months ago

area of right angled triangle is 54cm2 if one of its leg is 12 cm long then length of the other ​

Answers

Answered by YMystery
3

ANSWER : 9cm

EXPLAINATION :

Here,

The Right Angled triangle is given with area 54cm² and one of it's side 12cm.

So,

Let us name this triangle as ∆ABC where Angle B is 90°.

∴ AB is 12cm and ar(∆ABC) is 54cm²

Now,

We know that area of right-angled triangle : 1/2 x b x h

where, base is 1st side and height is 2nd side

⇒ar(∆ABC) = 1/2 x b x h

⇒54 = 1/2 x 12 x h

⇒h = 54 x 1/12 x 2/1    

⇒h = 9cm

∴The length of other side is 9cm

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