Question

Find the length of the missing side
The length of the missing side is​

Answer 1

52m

Explanation:

as this is a right angled triangle (has a 90° angle), you can use the Pythagoras theorem to work out the missing side.

Pythagoras theorem:

`a^(2) + b^(2) = c^(2)`

side A squared (labeled on diagram below)

+ side B squared

= side C squared

for this example though, we don't know the length of side B so we need to swap around the formula.

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

replace the letters for their numbers,

`65^(2) - 39^(2) = b^(2)` (calculate)

`65^(2) - 39^(2) = 2704`

2704 = b² but we want b by itself so we will square root b² (2704)

`√(2704) = 52`

∴ side B = 52m (remember we were calculating in meters)

I hope this was helpful :-)

Answer 2

52 m

Explanation:

a^2 + b^2 = c^2

a^2 + 39^2 = 65^2

a^2 + 1521 = 4225

4225 - 1521 = 2704

Square root of 2704 = 52