Question

In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS

Answer 1

RS = 2
`√(7)`

Explanation:

Using Pythagoras' identity in the right triangle

RS² + RT² = TS² , that is

RS² + 6² = 8²

RS² + 36 = 64 ( subtract 36 from both sides )

RS² = 28 ( take the square root of both sides )

RS =
`√(28)` =
`√(4(7))` = 2
`√(7)` ≈ 5.3 ( to 1 dec. place )