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Q.

The triangle has two altitudes of equal length, the triangle is:

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a

Isosceles triangle

b

Right angle triangle

c

Equilateral triangle

d

Scalene triangle

answer is A.

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Detailed Solution

Concept- According to congruence tests, if two altitudes in a triangle are of equal length, the triangle would be isosceles.
An isosceles triangle is indeed a triangle with two equal sides and two equal angles opposite the equal sides, which have been recognised as the base angles. In an isosceles triangle (a triangle with two congruent sides), the altitude with the incongruent side as its base will have the midpoint of that side as its foot, and if the triangle has two altitudes of equal length, the triangle is isosceles.
Hence, option 1 is correct.

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