Question

A, B and C form a triangle where ∠BAC = 90°

AB = 4.4mm and BC = 14.8mm
Find the length of AC, giving your answer rounded to 1 decimal place.

Answer 1

............ .. .......

Answer 2

14.1 mm

Given:

∠BAC = 90° (angle A should be 90°)

AB = 4.4mm

BC = 14.8mm

See the diagram given below.

Solving using Pythagoras Theorem: a² + b² = c²

x² + 4.4² = 14.8²

x = 14.8² - 4.4²

x = 219.04 - 19.36

x = 199.68

x = √199.68

x = 14.13 ≈ 14.1 mm (rounded to 1 decimal place)