Question

How do I calculate the length of the missing side?

Answer 1

Answer:

7.21

Step-by-step explanation:

Formula to find out hypotenuse of a right angled triangle:

a = √a²+b²

=>a = √6² + 4²

=>a = 7.2111

Answer 2

Answer:

$2\sqrt{13}$

Step-by-step 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

$\sqrt{52} = \sqrt{c^{2}}$

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 $2\sqrt{13} = c$ which will equal about 7.2 too if you put it in your calculator.

let me know if you have any questions!