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The area of a triangle is half the produ...

The area of a triangle is half the product of any of its sides and the corresponding altitude.

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altitude
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The area of two similar triangles are in ratio of the squares of the corresponding altitudes.

The area of a parallelogram is 150cm^(2) . If the ratio of its base and corresponding altitude is 3 : 2 , find the length of base and altitude

Knowledge Check

  • Statement- 1: If the sines of the angles of a triangle are in A.P., then the altitudes ef the triangle are also in A.P. Statement-2: Twice the area of a triangle is equal to the product of the lengths of a side and the altitude on it.

    A
    Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is False, Statement- 2 is True.

  • If area of two similar triangle are equal then ratio of their corresponding altitude is.

    A
    `1:1`
    B
    `1:sqrt(2)`
    C
    `1:2`
    D
    Cannot be determined

  • A circle, with radius 8 cm, which has the area equal to the area of a triangle with base 8 cm. Then the length of the corresponding altitude of triangle is:

    A
    38 `pi` cm
    B
    `16pi` cm
    C
    `8 pi` cm
    D
    `18 pi` cm

    • Similar Questions

    Explore conceptually related problems

    The area of a trapezium is half the product of its height and sum of parallel sides.

    The ratio of the the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides/altitudes.

    Can the length of the median in a triangle to a side be less than the corresponding altitude?

    The ratio of area of Two similar triangles are equal triangles are equal to the ratio of the squares of any two corresponding sides.

    Find the area of isosceles triangle whose non equal side are of 12cm having the corresponding altitude 7.5 cm.

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