Triangles & Square

The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is

The area of a right-angled triangle is 40 times its base. What is its height?

The area of a triangle is p sq. cm and its base is x cm. What is the height of the triangle (in cm)?

The ratio of the areas of a square of side 6 cm and an equilateral triangle of side 6 cm is  

ABCD is a rectangle and ABE is a triangle whose vertex E lies on CD. If AB = 5 cm and the area of the triangle is 10 sq. cm, then the perimeter of the rectangle is

In ΔPQR (right-angled at Q), side PQ = 32 cm and side PR = 25 cm. What is the measure of side QR?

Consider the given figure (rectangle ABCD with L the midpoint of AB and M the midpoint of DC; diagonals AC, DB, AM and DL are drawn intersecting at X). If the areas of the triangles LDC, BMC and AMC are denoted by x, y and z respectively, then

If three sides of a triangle are 6 cm, 8 cm and 10 cm, then the altitude of the triangle, using the largest side as its base, will be

The sides of a triangle are 3 cm, 4 cm and 5 cm. The area (in cm²) of the triangle formed by joining the mid-points of the sides of this triangle is

The sides of a triangle are 5 cm, 6 cm, and 7 cm. One more triangle is formed by joining the mid-points of the sides. The perimeter of the second triangle in cm is