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.
1 answer:
Answer:
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)
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