Mathematics Questions

Calculate the area of a triangle whose sides are 13 cm, 14 cm, and 15 cm using Heron's formula.

Two triangles are similar if their corresponding sides are:

If the areas of two similar triangles are in the ratio 16:25, what is the ratio of their corresponding sides?

In triangle ABC, D and E are points on AB and AC respectively such that DE is parallel to BC. If AD=2, DB=3, and AE=4, find EC.

The centroid of a triangle divides each median in the ratio:

What is the length of the altitude of an equilateral triangle with side 'a'?

Find the area of an equilateral triangle with side 6 cm.

In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is:

What is the circumradius of a right-angled triangle with hypotenuse 10 cm?

The internal bisector of an angle of a triangle divides the opposite side in the ratio of the sides containing the angle. This is:

In triangle ABC, if angle A=40 and angle B=80, find the ratio of sides BC:AC:AB.

If two sides of a triangle are 8 cm and 5 cm, the third side 'x' must satisfy:

A ladder 10m long reaches a window 8m high from the ground. Find the distance of the foot of the ladder from the wall.

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: