A, B & C form a triangle where BAC = 90°. AB = 7.3 mm and CA = 7.4 mm. Find the length of BC giving your answer rounded to 1 DP.

BC ≈ 10.4 mm (1 decimal)

Step-by-step explanation:

The question forms a right angle triangle. The angle BAC = 90°. The side AB = 7.3 mm and the side CA = 7.4 mm. The length of BC can be solved below.

AC = opposite side = 7.4 mm

AB = adjacent side = 7.3 mm

BC = hypotenuse = ?

Using pythagoras theorem we can find the longest side which is the hypotenuse

c² = a² + b² (pythagoras formular)

where

c = hypotenuse side

BC² = 7.4² + 7.3²

BC² = 54.76 + 53.29

BC² = 108.05

square root both sides

BC = √108.05

BC = 10.3947101931

BC ≈ 10.4 mm (1 decimal place)