Triangles

In an obtuse triangle ABC, where angle B > 90, the relation between sides is:

In triangle ABC, the medians AD, BE, and CF intersect at G. If the area of triangle ABC is 72 sq cm, find the area of triangle BDG.

What is the ratio of the inradius (r) to the circumradius (R) of an equilateral triangle?

In a triangle, the distance from a vertex to the orthocenter is 2R cos A. This relates to which center?

Calculate the area of a triangle with sides a=7, b=8, c=9.

The Euler Line passes through which of the following three points?

The distance between the circumcenter and the centroid (OG) on the Euler line is what fraction of the distance between the circumcenter and the orthocenter (OH)?

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: