Question

Find the size of angle YZX

Give your answer to 3 significant figures

Scroll down to see the shape

Answer 1

21.001 cm

Explanation:

The diagram shows right triangle with

Hypotenuse ZY = 22.3 cm

Leg XY = 7.5 cm

By the Pythagorean theorem,

`XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=√(441.04)\approx 21.001\ cm`