Question

Work out the length of x

Give your answer rounded to 1 decimal place.
(diagram not drawn accurately

Answer 1

given:

11.5 cm

8.9 cm

to find:

the unknown value "x"

solution:

we'll have to use pythagoras theorem.

unknown value is x

`{c}^(2) = {b}^(2) - {a}^(2)`

`{x}^(2) = {11.5 }^(2) - {8.9}^(2)`

`{x}^(2) = 53.04`

`x = √(53.04)`

`x = 7.282856582`

`x = 7.3 \: cm`

Answer 2

7.3 cm

Step-by-step explanation:

Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²

Insert values:

x² + 8.9² = 11.5²

x² + 79.21 = 132.25

x² = 132.25 - 79.21 (subtract)

x² = 53.04

x = √53.04 (square root)

x = 7.28285 ≈ 7.3 (rounded to 1 decimal place)