147k views
3 votes
what is the height of ABC is 30 centimeters, what is the length of a side of this triangle in the centimeters?

what is the height of ABC is 30 centimeters, what is the length of a side of this-example-1

1 Answer

2 votes

Since each triangle is a right triangle we can apply trigonometric functions:

Sin a = opposite side / hypotenuse

Where;

a = angle = 60° ( we are looking at the bottom left one)

Opposite side = 30 cm

Hypotenuse = AB

Replace:

Sin60 = 30 / AB

Solve for AB

AB = 30 / sin 60

AB = 34.64 cm

User Surf
by
3.6k points