Triangles

ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of ...

Suppose the medians BD and CE of a triangle ABC intersect at a point O. If area of triangle ABC is 108 sq. cm., then, th...

The length of each side of an equilateral triangle $$ABC$$ is 3 cm. Let $$D$$ be a point on $$BC$$ such that the area of...

In triangle $$ ABC $$, altitudes $$ AD $$ and $$ BE $$ are drawn to the corresponding bases. If $$ \angle BAC = 45^\cir...

Let $$ \triangle ABC $$ be an isosceles triangle such that $$ AB $$ and $$ AC $$ are of equal length. $$ AD $$ is the a...

In a rectangle $$ABCD$$, points $$P$$ and $$Q$$ are on side $$BC$$ such that the areas of triangles $$ABP$$, $$APQ$$, a...

In a right-angled triangle $$ ABC $$, the altitude $$ AB $$ is 5 cm, and the base $$ BC $$ is 12 cm. $$ P $$ and $$ Q $...

The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radius of the incircle of...

If **ABCD** is a trapezium in which **AB** is parallel to **CD**, the sides **AD** and **BC** when extended intersect at...

The midpoints of sides AB, BC, and AC in △ ABC are M, N, and P, respectively. The medians drawn from A, B, and C interse...