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Question

Answers

A. Isosceles triangle

B. Right angle triangle

C. Equilateral triangle

D. Scalene triangle

Answer

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Start with explain the properties of each option

Option A – An isosceles triangle is a triangle that has two equal sides and the angles opposite the equal sides are also equal and they are called the base angles. In an isosceles triangles ( a triangle with two congruent sides), the altitude having the incongruent side as its base will have midpoint of that side as its foot and according to the congruence tests if the triangle, two altitudes are of equal length , then the triangle is isosceles.

Option B – In the right angle triangle one of its sides equal to ${90^ \circ }$. The side opposite the ${90^ \circ }$ angle is called the hypotenuse , and is the longest side of the triangle. In the right angle triangle altitude bisect the triangle in two equal triangles.

Option C – An equilateral triangle three of its sides are equal and all the three angles are also equal and each measures ${60^ \circ }$. The altitude in the equilateral triangle is the line segment from the vertex that is perpendicular to the opposite side.

Option D – A scalene triangle is a triangle that has no equal sides. In scalene triangle angles are also not equal . The altitude in the scalene triangle is the line segment from the vertex that is perpendicular to the line containing the base.

After considering all the options we find that option A is correct.