Question

A, B & C form a triangle where BAC = 90 degrees. AB = 4.9 mm and CA =10.4 mm. Find the length of BC, giving your answer rounded to 1 DP.

Answer 1

used Pythagorean theorem to figure this out

a² + b² = c²

BC ~ 11.5 mm

Explanation:

`{a}^(2) + {b}^(2) = {c}^(2) \\ {4.9}^(2) + {10.4}^(2) = {c}^(2) \\ 24.01 + 108.16 = {c}^(2) \\ 132.17 = {c}^(2) \\ c = √(132.17) \\ c = 11.4965 \: \: \: \: approx. \: \: \: \: 11.5 \: mm`