Triangles

The line joining the midpoints of two sides of a triangle is:

Which point in a triangle is equidistant from all the vertices?

The point of intersection of the angle bisectors of a triangle is called:

In triangle ABC, if AD is the median to side BC, then AB^2 + AC^2 is equal to:

Find the area of a triangle with sides 5 cm, 12 cm, and 13 cm.

The ratio of the corresponding altitudes of two similar triangles is 3:4. What is the ratio of their areas?

In a triangle, if the centroid and the orthocenter coincide, the triangle must be:

If the base of an isosceles triangle is 12 cm and its perimeter is 32 cm, find its area.

What is the relation between the area of a triangle and a parallelogram on the same base and between the same parallels?

In triangle ABC, angle B = 90 and AC = 2 AB. Find angle C.

The sum of the altitudes of a triangle is _____ its perimeter.

If a line is drawn parallel to one side of a triangle to intersect the other two sides, in what ratio does it divide them?

A median of a triangle divides it into two triangles of:

If the side of an equilateral triangle is doubled, its area becomes:

Find the length of the diagonal of a square if its side is 5 cm (relate to isosceles right triangle).

In triangle ABC, if AB=AC and angle B=50, find angle A.

Which of the following is always true for the orthocenter of an obtuse triangle?

In triangle ABC, the bisector of angle A meets BC at D. If AB=10, AC=14, and BC=6, find BD.

Two triangles are similar by SAS criterion if:

What is the area of a triangle with vertices at (0,0), (4,0), and (0,3)?