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Show that in a right angled triangle,...

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

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The correct Answer is:
AC
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Show that in a right triangle the hypotenuse is the longest side.GIVEN : A right triangle ABC in which /_ABC=90^(@). TO PROVE : Hypotenuse AC is the longest side,i.e.AC>AB( ii) AC>BC

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

Knowledge Check

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

    A
    `h^(2)/(2sqrt(2))`
    B
    `h^(2)/2`
    C
    `h^(2)/sqrt(2)`
    D
    `h^(2)/4`

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    (Pythagorass Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

    Prove that is a right angle triangle, the square of the hypotenuse is equal the sum of the squares of other two sides.

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    Fill in the blanks . (a) Each angle of an equilateral triangle measures ………….. (b) Medians of an equilateral triangle are …… (c) In a right triangle, the hypotenuse is the ……. Side.

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