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A triangle in which two altitudes of the triangle are two of its sides is _________.
  • a)
    obtuse-angled triangle
  • b)
    acute-angled triangle
  • c)
    right-angled triangle
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A triangle in which two altitudes of the triangle are two of its sides...
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

The side opposite the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (or catheti, singular: cathetus). Side a may be identified as the side adjacent to angle B and opposed to (or opposite) angle A, while side b is the side adjacent to angle A and opposed to angle B.

If the lengths of all three sides of a right triangle are integers, the triangle is said to be a Pythagorean triangle and its side lengths are collectively known as a Pythagorean triple.
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A triangle in which two altitudes of the triangle are two of its sides is _________.a)obtuse-angled triangleb)acute-angled trianglec)right-angled triangled)None of theseCorrect answer is option 'C'. Can you explain this answer?
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