Question

(PLEAS HELP ASAP) Find the missing length of the purple triangle.

Answer 1

Answer: 12mm

Step-by-step explanation: Use the pythagorean theorem to find the length of b. We have one side length as well as the hypotenuse side length, and using the theorem
`a^2+b^2=c^2`, we can plug in our existing lengths to get this equation:

`9^2+b^2=15^2`

This simplifies to:

`81+b^2=225`

which simplifies to

`b^2=144`

which simplifies to

`b=12`.

Additionally, 9-12-15 is a pythagorean triple, so the next time you see a triangle with these specific side lengths, you can use this information to fill in the missing one immediately.

Answer 2

15 squared minus 9 squared and square root it is 12