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SINAZEUS
the first one is true




if the angles of a right triangle are 90,45,45

the legs are equal. so if AC is 13, Back will be 13, too.


now you can get help from Pythagoras theorem :
[tex]c {}^{2} = {13}^{2} + {13}^{2} \\ c {}^{2} = 169 + 169 = 338 \\ c = \sqrt{338} = 13 \sqrt{2} = 18.38[/tex]




good luck
prestonshelton
Hello!

We first have to find the missing angle in the triangle

180 - 90 - 45 = 45

Since angle b and angle c equal the same their corresponding lines equal the same

Line BA = 13

Use the Pythagorean theorem

[tex] 13^{2} + 13^{2} = c^{2} [/tex]

Square the numbers

[tex]169+169 = c^{2} [/tex]

Add

[tex]338 = c^{2} [/tex]

Take the square root of both sides

[tex]c = 13 \sqrt{2} [/tex]

The answer is A) [tex]13 \sqrt{2} ft[/tex]

Hope this helps!

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