Question: A B and C form a triangle where BAC = 90°. AB = 7.4 mm and CA = 12 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answer:
14.1 mm
Explanation:
From the diagram attached,
Using pythagoras theorem,
a² = b²+c²............... Equation 1
From the attached file,
Given: a = x, b = 7.4 mm, c = 12 mm
Substitute these values into equation 1, and solve for x
x² = 7.4²+12²
x² = 54.76+144
x² = 198.76
x = √(198.76)
x = 14.1 mm
Hence, the length of BC = 14.1 mm