Latest Elitmus Aptitude Question SOLUTION: triangle ABC is an isosceles triangle. if AB changed to 3AB and AC changed to 3AC without changing the measure of angle A. what is the change in area

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(#M40154986) ELITMUS Numerical Ability question geometry Keep an EYE

triangle ABC is an isosceles triangle. if AB changed to 3AB and AC changed to 3AC without changing the measure of angle A. what is the change in area

Asked In Elitmus Bastab Kumar Das (8 years ago)

Solved abdul majid khan Read Solution (5)

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abdul majid khan  (8 years ago) Best Solution

AB and AC are adjecent sides of trianlge ABC have common angle A.
we know area of any trianlge = product of two adjecent side * SIN(angle bet them)
i.e area = AB*AC*SIN(A)
hence new area = (3AB)*(3AC)*SIN(A)
= 9 times old area

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rituraj  (8 years ago)

It is an isosceles triangle.Therefore, 3AB=3AC and angle is same.
Then, AB:AC:BC:h = 3AB:3AC:3BC:3h where,h is height [property of isocl. trngl]
area of any triangle = 1/2 * base * height
Now,
area of small trngl : area of large triangle
1/2 *BC*h : 1/2*3BC*3h [1/2 cancels 1/2 and BC & h cancels BC & h]
1:9
Change in area=900%

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Piyush jain  (8 years ago)

area of isoceles triangle=AB/4( (4AC^2-AB^2)^1/2)
so ans is = 3 time of old area

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Rohit kumar  (8 years ago)

AB->3AB & AC->3AC
area2/area1=3*3/1*1=9times

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shubham rindhe  (7 years ago)

9 times is correct ans

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