Question

How do I calculate the length of the missing side?

Answer 1

`2√(13)`

Explanation:

so that's a right triangle meaning there is a 90 degree angle (the red box inside of the triangle) in the triangle. when you have a right triangle, you can use the pythagoream theorm

pythagoream theorm =
`a^(2) + b^(2) = c^(2)`

• a and b are the two shortest sides of the triangle
• c is the longest side of the triangle, and it is always the side opposite of the right angle. we are trying to find c!

so a and b are given to us, which means...

a = 4

b = 6

PLUG IT IN!

`4^(2) + 6^(2) = c^(2)` ----> you can simplify this to be

16 + 36 =
`c^(2)`

52 =
`c^(2)`

next, we have to isolate c in order to get the missing angle. this step is fairly simple as you just have to square both sides

`√(52) = \sqrt{c^(2)}`

because 52 doesn't square nicely, you can just put it in your calculator to get about 7.2, or you can simplify it to be
`2√(13) = c` which will equal about 7.2 too if you put it in your calculator.

let me know if you have any questions!

Answer 2

7.21

Explanation:

Formula to find out hypotenuse of a right angled triangle:

a = √a²+b²

=>a = √6² + 4²

=>a = 7.2111