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 roun

Question

NNADVOKAT [17]

3 years ago

8

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 roun

ded to 1 DP.

Mathematics

1 answer:

forsale [732] · Answer 1 · 2022-10-02T20:46:31+03:00

forsale [732]3 years ago

7 0

Answer:

used Pythagorean theorem to figure this out

a² + b² = c²

BC ~ 11.5 mm

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2} \\ {4.9}^{2} + {10.4}^{2} = {c}^{2} \\ 24.01 + 108.16 = {c}^{2} \\ 132.17 = {c}^{2} \\ c = \sqrt{132.17} \\ c = 11.4965 \: \: \: \: approx. \: \: \: \: 11.5 \: mm$