Question

The area of angle XYZ is 35 cm². If XY is equal to 7 cm and angle XYZ is equal to 30°, find the length of YZ.

a) 5 cm
b) 7 cm
c) 10.5 cm
d) 14 cm

Answer 1

c) 10.5 cm. The length of YZ is 10.5 cm.

Step-by-step explanation:

To find the length of YZ, we can use the formula for the area of a triangle: Area = (1/2) * base * height. In this case, the base is XY and the height is the length of YZ. We are given that the area of angle XYZ is 35 cm², so we can set up the equation as: 35 = (1/2) * 7 * YZ. Solving for YZ, we get YZ = 10.5 cm.