the sides of a triangle are in the ratio 5: 12:13 and its perimeteris 150 cm . find the area of triangle
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Sides of the triangle are in ratio 5 : 12 : 13
Let the common multiple be x
So sides are 5x , 12x & 13x
Perimeter of the triangle = sum of all sides
》150 = 5x + 12x + 13x
》150 = 30x
》x = 150/30
》x = 5
So the sides are 25 cm , 60 cm & 65 cm
If we observe carefully the it is a Pythagoras triplet
So the triangle is right angled triangle
So area = 1/2 × product of sides forming right angle
= 1/2 × 25 × 60
= 25 × 30
= 750 cm^2
So the area of the triangle is 750 cm^2
Hope it helps you ..!!
✌
Sides of the triangle are in ratio 5 : 12 : 13
Let the common multiple be x
So sides are 5x , 12x & 13x
Perimeter of the triangle = sum of all sides
》150 = 5x + 12x + 13x
》150 = 30x
》x = 150/30
》x = 5
So the sides are 25 cm , 60 cm & 65 cm
If we observe carefully the it is a Pythagoras triplet
So the triangle is right angled triangle
So area = 1/2 × product of sides forming right angle
= 1/2 × 25 × 60
= 25 × 30
= 750 cm^2
So the area of the triangle is 750 cm^2
Hope it helps you ..!!
✌
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Here is u r answer...
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khushi891:
but i cant see ur ans
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