Question

Find the length of the missing side:
Please help! Most helpful answer gets the crown :] thank you!

Answer 1

Answer:

10.29 m

Step-by-step explanation:

To find the unknow side of a right-angle triangle:

Given triangle is a right-angle triangle. So, to find the unknown side, we can use Pythagorean theorem.

The side opposite of 90°, is the hypotenuse.

hypotenuse² = base²+ altitude²

                      = 5² + 9²

                      =25 + 81

                      = 106

Take square root,

 $\sf hypotenuse = \sqrt{106}\\\\\boxed{hypotenuse =10.29 }$

Answer 2

Answer:

The length of the missing side is sqrt(106), or 10.296cm.

Step-by-step explanation:

What this question is is an example of the Pythagoras Theorem.

It is a rule regarding right-angled triangles, that any two sides of the triangle allow you to find the third. This equation shows this:

a squared + b squared (the two perpendicular triangle sides) = c squared (the longest side/hypotenuse).

So in this example, a and b are 5 and 9, and we want to find c.

5 squared + 9 squared =c squared

25+81=c squared

106=c squared

Do note that this is not the final answer- you will need to square root it (sqrt) to find the answer for c.

Therefore, √106 centimeters is the answer for the remaining side or 10.296 to 3 decimal places.