Question

Work out the length x in the triangle below.

If your answer is a decimal, give it to 1 d.p.
area = 26 m²
13 m
x
30°
PLEASE HELP WITH THIS QUESTION!!

Answer 1

x = 8

Explanation:

the area (A) of the triangle is calculated as

A =
`(1)/(2)` absinC

where a and b are 2 sides of the triangle and C the angle between them

here a = 13 , b = x , C = 30° and A = 26 , then

`(1)/(2)` × 13 × x × sin30° = 26 ( multiply both sides by 2 to clear the fraction )

13x × sin30° = 52 ( using the exact value of sin30° =
`(1)/(2)` )

13x ×
`(1)/(2)` = 52 ( multiply both sides by 2 to clear the fraction )

13x = 104 ( divide both sides by 13 )

x = 8