Question

Work out the length of x in the triangle below

Answer 1

x = 8 m

Explanation:

the area (A) of the triangle is calculated as

A =
`(1)/(2)` ab sinC

where a and b are 2 sides and C the angle between the 2 sides

here let a = 13 , b = x , given A = 26 , then

`(1)/(2)` × 13 × x × sin30° = 26 [ note sin30° =
`(1)/(2)` ]

6.5x ×
`(1)/(2)` = 26 ( multiply both sides by 2 to clear the fraction )

6.5x = 52 ( divide both sides by 6.5 )

x = 8