ABC is a right-angled triangle.

AC = 16 cm

Angle C = 90

size of angle B : size of angle A = 3:2

Work out the length of AB.

Guest Apr 20, 2020

#1**+1 **

First we find angles A and B. The sum of the angles in a triangle is 180 and we know that angle C is 90 so the sum of angles A and B is also 90. Since they are in a ration of B:A = 3:2 then Angle A is 36 and Angle B is 54. The sin of B is 16/AB. We get the equation **sin(54)= 16/AB** Solving for AB to three significant digits we get **19.8**.

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