Question

A, B & C form a triangle where
∠
BAC = 90°.
AB = 10.9 mm and BC = 23.6 mm.
Find the length of AC, giving your answer rounded to 1 DP.

Answer 1

Answer:

Given,

In triangle ABC,

∠BAC = 90°,

Thus by the Pythagoras theorem,

BC^2=AB^2 + CA^2

We have,

AB = 9.6 mm and CA = 7.6 mm,

By substituting the values,

BC^2 = 9.6^2 + 7.6^2 =92.16+ 57.76= 149.92

\implies BC = 12.24418\approx 12.2\text{ mm}

Answer 2

Answer:

149.49 is the answer hope it helps