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Right-angled Triangle

The longest s...

Question

The longest side of a right-angled triangle is called its ______.

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Solution

The hypotenuse of a right-angled triangle is always the side opposite the right angle. It is the longest side in a right triangle.
Hence, the longest side of a right-angled triangle is called its hypotenuse.

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Question 52

Fill in the blanks to make the statement true.

The longest side of a right-angled triangle is called its ___

Q. (i) In ∆ABC, ∠A = 90°. Which is its longest side?
(ii) In ∆ABC, ∠A = ∠B = 45°. Which is its longest side?
(iii) In ∆ABC, ∠A = 100° and ∠C = 50°. Which is its shortest side?

Q. Fill in the blanks:

(i) A right triangle cannot have an ...... angle.
(ii) The acute angles of a right triangle are ...... .
(iii) Each acute angle of an isosceles right triangle measures ...... .
(iv) Each angle of an equilateral triangle measures ...... .
(v) The side opposite the right angle of a right triangle is called ...... .
(vi) The sum of the lengths of the sides of a triangle is called its...... .

Q. In a right-angled triangle, prove that the hypotenuse is the longest side.

Q. The longest side of the right angled triangle is called its

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