Question

Work out the length of RS.

Give your answer to 3 significant figures.
S
R
-5
-4
-B
- 2
2
-40
+
3
4
5 x
+
-2-

Answer 1

5.83 units

Explanation:

Given is a right angled triangle.

Length of base = 2 - (-3) = 2+ 3 = 5 units

Height = 4 - 1 = 3 units

By Pythagorean theorem:

`RS = \sqrt{ {5}^(2) + {3}^(2) } \\ = √(25 + 9) \\ = √(34) \\ = 5.83095189 \\ = 5.83\: units`