Find the altitude of an equilateral triangle whose side is 8√3 cm.
Find the length of AC, if ΔABC ~ ΔRQP and BC = 21 cm, QP = 9 cm and RP = 15 cm.
If perpendicular and base of a right-angle triangle is, 18 cm and 24 cm, respectively, then find the length of the shortest median of triangle.
If perpendicular and base of a right-angle triangle is, 12 cm and 16 cm, respectively, then find the length of the shortest median of 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 two triangles ABC and XYZ are congruent, then which of the following statement(s) is/are true?
I. AB = XY
II. ∠CAB = ∠XYZ
- If the perpendicular from a vertex of an equilateral triangle to the opposite side is 15√3 cm, find its inradius.
- The base of a right pyramid is an equilateral triangle with side 9 cm. If the height of the pyramid is 45√3 cm, find the volume of the pyramid.
The areas of two similar triangles XYZ and LMN are 400 cm² and 100 cm² respectively. If side XY = 30 cm, find the corresponding side LM.
The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?