Mathematics Questions

What is the area of the triangle formed by joining the midpoints of the sides of a triangle with area 100 sq cm?

In a right triangle, the length of the median to the hypotenuse is 5 cm. What is the length of the hypotenuse?

In triangle ABC, if cot A, cot B, cot C are in AP, then a^2, b^2, c^2 are in:

Find the area of a triangle with vertices (1, 2), (3, 4), and (10, 6).

The length of sides of a triangle are in the ratio 3:4:5. If its perimeter is 36 cm, what is its area?

Which theorem states that for any triangle ABC and a line intersecting sides AB, BC, and CA at points C', A', and B' respectively, (AB'/B'C) * (CA'/A'B) * (BC'/C'A) = 1?

The radius of the circle inscribed in a triangle with sides 3, 4, 5 is:

In triangle ABC, if sin^2 A + sin^2 B = sin^2 C, then the triangle is:

If the altitudes of a triangle are h1, h2, and h3, then the area is given by:

In a triangle ABC, internal bisector of angle A meets BC at D. If AD is also perpendicular to BC, the triangle is:

The area of a triangle with side lengths a, b, and c is 24. If all sides are doubled, what is the new area?

If the medians of a triangle are 3, 4, 5, what is the area of the triangle?

The length of the angle bisector of angle A in triangle ABC is given by:

In a triangle ABC, if the sides are 13, 14, 15, the length of the altitude to the side 14 is:

A circle is inscribed in a triangle with sides 8, 15, 17. Its radius is:

The area of the circumcircle of an equilateral triangle with side 6 is:

In triangle ABC, side b = 20, c = 21 and sin A = 3/5. Find side a.

Two sides of a triangle are 4 and 10. Which cannot be the third side?

In triangle ABC, angle A = 30, B = 60. What is the ratio of sides a:b:c?

The coordinates of vertices of a triangle are (0,0), (6,0) and (0,8). The circumcenter is: