List the sides of ∆XYZ in order from shortest to longest if m∠X = 51, m∠Y = 59, and m∠Z = 70.

YZ < ZX < XY

Step-by-step explanation:

In a triangle the side opposite to largest interior angle is largest, opposite to medium interior angle is medium and opposite to smallest interior angle is smallest.

Given,

In triangle XYZ,

m∠X = 51°, m∠Y = 59°, and m∠Z = 70°,

Since, 51° < 59° < 70°,

⇒ m∠X < m∠Y < m∠Z

Also, sides YZ, ZX and XY are the opposite sides of the angles X, Y and Z respectively,

Hence, by the above property,

YZ < ZX < XY

Which is the required order.

The shortest side would be YZ.

The next would be XZ.

The longest side would be XY.