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Equilateral triangle are drawn on the th...

Equilateral triangle are drawn on the three sides of a right angled Triangle. Show that the area of the Triangle on the hypotenuse is equal to the sum of the areas of triangle on the other two sides.

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Pythagoras theorem (Baudha-yana theorem): In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Show that in a right angled triangle, the hypotenuse is the longest side.

Knowledge Check

  • The sides of a right angled triangle are in A.P then they are in the ratio

    A
    `2:3:1`
    B
    `2:3:5`
    C
    `3:4:5`
    D
    `3:1:2`

  • Example for the sides of a Right angled triangle is………….

    A
    5,6,9
    B
    5,12,13
    C
    5,11,12
    D
    7,8,9

  • IF 13,14,15 are the sides of the triangle , then the area of the triangle in sq. unit is

    A
    84
    B
    72
    C
    56
    D
    68

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    If A is the area and 2s is the sum of the sides of a triangle, then

    The maximum area of a right angled triangle with hypotenuse h is

    The sum of the hypotenuse and a side of a right angled triangle is constant . If the area of the triangle is maximum then the angle between the hypotenuse and the given side is

    If Delta is the area of triangle whose sides are a,b,c then the area of the triangle with 2a,2b,2c as the sides is

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