Question

In ΔVWX, v = 21 cm, w = 64 cm and ∠X=23°. Find the length of x, to the nearest centimeter.

Answer 1

45 (in centimeters)

Explanation:

In ΔVWX we have to find the length of the third side.

When the length of two sides of a triangle and the included angle is given

we can find the length of third side by applying cosine law.

According to cosine law, in a ΔVWX

`x^(2) =v^(2)+w^(2) -2vwcosX`

`=21^(2)+64^(2)-(2*21*64* cos23)`

=2062.683
`(cm)^(2)`

`x=45`cm (approximating it to nearest integer)