Question

Refer to the illustration find b if a=8 and c=10

Answer 1

b = 6 (option D)

Step-by-step explanation:

a = 8, c = 10, b = ?

The triangle is right-angled

Using pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

Hypotenuse = c, opposite = b, adjacent = a

10² = b² + 8²

b² = 10²- 8²

b² = 100 - 64

b² = 36

squre root both sides:

b = √36

b = 6 (option D)