a) AB = 17 m, b) AC = 20.8 m.
Step-by-step explanation:
Step 1; Split the side on which AB lies into known shapes. It consists of a rectangle and a triangle. The rectangle has a length of 11 m and a width of 8m. The triangle has a base length of 26m - 11m = 15m. It has a height of 8m. So we can find the AB of the triangle.
AB = √(15² + 8²) (Pythagoras theroem) = √(225 + 64) = √289 = 17 m.
So AB length is 17m.
Step 2; We split the rectangle which contains ABC into two equal triangles. So the rectangle has a length equal to AB, so the length is 17m while width equals 12m. So we calculate the length of AC using the Pythagoras theorem.
AC = √(17² + 12²) (Pythagoras theroem) = √(289 + 144) = √433 = 20.808 m.
Rounding off 20.808 m to 1 decimal place, we get AC = 20.8 m.
