Question

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

Answer 1

Answer:

52 m

Step-by-step 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

Answer 2

Answer:

52m

Step-by-step 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)

$\sqrt{2704} = 52$

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

I hope this was helpful :-)