Question

Name the triangle in which the two altitudes of the triangles are two of its sides.A. Isosceles triangleB. Right angle triangle C. Equilateral triangle D. Scalene triangle

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Hint: Learn the properties of type of triangle and try to differentiate between them. Start solving this question by mentioning the respective properties which are related to altitudes and sides because the questions clearly mention that we have to find the name of the triangle in which two altitudes of the triangle are two of its sides.

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.