Mercalli scale is the instrument used for measuring the

Find the inradius of an equilateral triangle whose altitude is 9√3 cm.

The vertices of triangle ABC are A(2, 3), B(8, 5) and C(5, −1). Find the coordinates of the centroid of the triangle.

Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF.

If the ratio of areas of two similar triangles is 25:49, then the ratio of their corresponding sides is?

The perimeter of an equilateral triangle is 48√3 cm. Find its height.

If the inradius of a triangle with a perimeter of 60cm is 8 cm, then find the area of the triangle.(in cm²)

An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.

In the given figure, AB ∥ QP, AB = x, PQ = x + 10, RB = x/2, BP = x + 1. Find PQ.

A triangle has sides 13, 14, 15. Find its area.