The base and height of a triangle is 3:7 in ratio if area is 42 cm square find base and height
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PrinceJK786:
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Let the common ratio be x
base = 3x
height = 7x
area = 42 cm square
ATQ
Area of triangle = 1/2 * base * height
42 = 1/2 * 3x * 7x
42 * 2 = 21x^2
84 = 21x^2
84/21 = x^2
4 = x^2
√4 = x
x = 2
Now
putting x = 2
base = 3x
=3 * 2
= 6
height = 7x
= 7 * 2
= 14
base = 3x
height = 7x
area = 42 cm square
ATQ
Area of triangle = 1/2 * base * height
42 = 1/2 * 3x * 7x
42 * 2 = 21x^2
84 = 21x^2
84/21 = x^2
4 = x^2
√4 = x
x = 2
Now
putting x = 2
base = 3x
=3 * 2
= 6
height = 7x
= 7 * 2
= 14
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