Latest Elitmus Aptitude Question SOLUTION: A triangle ABC has an area of 150 sq cm. The length of the largest side is 50 cm and smallest side is 10 cm. What will be the perimeter of the triangle

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(#M40034737) ELITMUS Numerical Ability question Geometry Keep an EYE

A triangle ABC has an area of 150 sq cm. The length of the largest side is 50 cm and smallest side is 10 cm. What will be the perimeter of the triangle

Asked In Elitmus Ankush Tiwari (10 years ago)

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RAKESH  (10 years ago)

ans: perimeter = 60 + 30√2 = 30(2+√2)= 102.43 cm

let height of triangle wrt largest side be h cm

then, area of triangle = 1/2 *base*height
=> 1/2 *50*h = 150
=> h = 6 cm

this height will divide traingle in two right angled triangles

base of smaller triangle = √(10^2-h^2)=√(10^2-6^2)= 8 cm
so, base of larger traingle =(50-8)= 42 cm

third side of triangle = √(42^2+h^2)= √(42^2+6^2)= 30√2 cm

perimeter of the triangle = 50 + 10 + 30√2 = 60 + 30√2 = 30(2+√2)= 102.43 cm

Is this solution Helpfull? Yes (63) | No (4)  

Ishan  (10 years ago)

the question does not mention if it is a right angled triangle ..how are u people assuming this

Is this solution Helpfull? Yes (3) | No (2)  

amit sinha  (10 years ago)

Sum of any 2 sides is always greater than the third side,largest side is 50,10+x must be greatser than 50,so

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prasann kumar jha  (10 years ago)

perimeter= 50+10+30√5=127.08 cm
let the base be the smallest side, i.e 10 cm.
then, area of triangle = 1/2 *base*height
=> 1/2 *10*h = 150
=> h = 30 cm
now the length of the third side is = √(30^2+5^2) => √925 cm =>30√5cm=> 67.09cm
now the perimeter of the triangle is = 50 +67.09 +10=127.08cm

Is this solution Helpfull? Yes (1) | No (9)  

prince kumar singh  (10 years ago)

90 ans,l-30,b-10,h-50 because h is the largest part of traingle.
area=1/2*b*l
l=30;
p=l+b+h=90

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Adil khan  (6 years ago)

Rakesh is right he didn't say about right angle triangle. He meant draw a perpendicular on largest side the perpendicular is height and this makes right angle on base 50.
So
1/2*50*height=150

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