Question

Work out the length of x

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

Answer 1

Answer:

7.3 cm

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)

Answer 2

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

${c}^{2} = {b}^{2} - {a}^{2}$

${x}^{2} = {11.5 }^{2} - {8.9}^{2}$

${x}^{2} = 53.04$

$x = \sqrt{53.04}$

$x = 7.282856582$

$x = 7.3 \: cm$