Question

Please help thank you very much.

Answer 1

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


`13^(2) + 13^(2) = c^(2)`

Square the numbers


`169+169 = c^(2)`

Add


`338 = c^(2)`

Take the square root of both sides


`c = 13 √(2)`

The answer is A)
`13 √(2) ft`

Hope this helps!

Answer 2

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 :

`c {}^(2) = {13}^(2) + {13}^(2) \\ c {}^(2) = 169 + 169 = 338 \\ c = √(338) = 13 √(2) = 18.38`




good luck