Question

To the nearest hundredth of a centimeter, what is the length of the hypotenuse?

[1] cm
92.58 cm

Answer 1

Hypotenuse = 107.02

Explanation:

Points to remember

If angles of a triangle are 30°, 60° and 90° then the sides are in the ratio

1 : √3 : 2

It is given a right angled triangle with angles 30°, 60°, 90°

and height = 95.58 cm

To find the hypotenuse

From the figure we can write,

Base : Height : Hypotenuse = 1 : √3 : 2 = Base : 92.58 : Hypotenuse

Therefore Hypotenuse = (92.58 * 2)/√3

= 107.02 cm

Answer 2

106.90 cm

Explanation:

Given

Angle=30 degrees

Base=92.58 cm

So,

We will have to use the triangular ratios to find the hypotenuse.

The triangular ratio that will be used for this will be cosine because we know the value of angle and base since it involves both cosine will be used.

cos⁡θ=Base/Hypotense

cos⁡30=92.58/Hypotenuse

0.8660=92.58/Hypotenuse

Hypotenuse=92.58/0.8660

=106.90 cm ..