Opportunity cost can be calculated with the help of 

The vertices of a triangle are given as (5, 4), (9, 6), and (1, 5). Determine the area enclosed by this triangle.

In ∆ PQR, S is the midpoint of QR. T is the midpoint of line PS. Then, Area of ∆PTQ : Area of ∆ PQR is

If two triangles XYZ and ABC are congruent, then which of the following statement(s) is/are true?

I. XY = AB

II. ∠X = ∠A

Find the length of AB, if ΔABC ~ ΔRQP and BC = 14 cm, QP = 7 cm and RQ = 5 cm.

Find the length of AC, if ΔABC ~ ΔRQP and BC = 21 cm, QP = 9 cm and RP = 15 cm.

Two triangles DEF and XYZ are similar to each other. If DE = 5 cm, DF = 7 cm, and XY = 15 cm, then find XZ.

Calculate the altitude of an equilateral triangle having each side of length 10√3 cm.

The area of a triangle is 216 cm² and the ratio of its sides is 9: 12: 15. What is the perimeter of the triangle?