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harkovskaia [24]
3 years ago
8

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

Mathematics
2 answers:
givi [52]3 years ago
7 0

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

Svetllana [295]3 years ago
4 0

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 :-)

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