For the given right-angled triangle, which of the following is/are true?

(h=hypotenuse, a and b are the perpendicular sides)

$h = a + b$

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$h^{2} = a^{2} + b^{2}$

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$a^{2} = h^{2} - b^{2}$

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$h^{3} = 3 (a^{3} + b^{3})$

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Solution

The correct options are
B
$h^{2} = a^{2} + b^{2}$

C
$a^{2} = h^{2} - b^{2}$

For the given right-angled triangle,

According to Pythagoras theorem, $h^{2} = a^{2} + b^{2}$

$\Rightarrow a^{2} = h^{2} - b^{2}$

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Similar questions

Consider the right angled triangle given below: Which of the following statments is/are true?

(h = hypotenuse, a and b are the perpendicular sides)

In a right angled triangle, which of the following is true? [ $h =$ hypotenuse, $a$ and $b$ are the perpendicular sides]

In a right angled triangle, which of the following is true? (h=hypotenuse, a and b are the perpendicular sides)

h

a

b

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