Question

Find the missing side of each triangle. Leave your answers in simplest radical form.

5)
14
х
11
V226
х
7)
6
χ
7
x
13
5V2
P
Oh I

Answer 1

5)
`x=√(317)`

6)
`x = √(186)`

Explanation:

You have to know Pythogeroem theorem, which is:

`a^2 +b^2 = c^2`, where a, b are the sides of the triangle and c is the hypothesis (the side in front of the 90° angle)

5)

Plug in the numbers into the equation, make sure c is the hypothesis (the side in front of the 90° angle). Hypothesis is x in this example.

`14^2+11^2 = x^2\\196 + 121 = x^2\\√(196 + 121) = x\\√(317) = x`

6) Hypothesis is
`√(226)`

`7^2 + x^2 = √(226)^2\\7^2 + x^2 = 226\\49 + x^2 = 226\\x^2 = 186\\x= √(186)\\`

Same steps for 7) and 8)