Question

In the adjoining figure, x > y > z. Write the sides of ΔABC in ascending order.

Answer 1

Given: In the figure ∠A = x, ∠B = y, ∠C = z and x > y > z.

Step-wise calculation:

1. In any triangle, a larger angle is opposite the longer side.
2. ∠A (x) is largest, so its opposite side BC is the longest.
3. ∠B (y) is middle, so its opposite side AC is of middle length.
4. ∠C (z) is smallest, so its opposite side AB is the shortest.

AB < AC < BC.