Question

Help??

Answer 1

that's a 30 60 90 triangle, so the hypotenuse should be 15in

it's a 3:4:5 ratio..... 9:12:15

Answer 2

@robz8 so what would the answer be?

Answer 3

15?

Answer 4

he's suggesting the pythagorean triples http://www.tsm-resources.com/alists/trip.html

Answer 5

@nincompoop oohhh.. do you know the answer to this though?

Answer 6

if you're in doubt, you can always plug the values in and solve for c
\[c = \sqrt{a^2+b^2}\]

Answer 7

@nincompoop im a bit confused on that

Answer 8

do you know how to multiply, square, add and obtain square root?

Answer 9

@nincompoop can you just walk me through it to getting the answer?

Answer 10

ya sure why not...

Answer 11

there are different types of triangles and the triangle you are presented in the problem is a right triangle. we can identify a right triangle if one of the sides is 90° and that is usually indicated by ⃞ in one of the corners.

Identifying that it is a right triangle, to solve for the length of sides, we can borrow the lecture made by an Ionian Greek mathematician named Pythagoras - called the Pythagorean Theorem.
According to the theory that, in a right triangle, the length of side c can be solved when given by other two sides, a and b by the formula:
\[c= \sqrt{a^2+b^2}\]
this means that we need to square a and then b individually, then add them together, after that is done, we obtain the square root.
\[c = \sqrt{(9^2+12^2)}= \sqrt{81+144}=\sqrt{225}=\pm15\]
that means that the values are -15 and +15, but since we are looking for a length of a side, it cannot be the -15. there's no such a thing as -15 inches so we will use +15.

so pay attention carefully when @rob8 mentioned about 3:4:5 ratio. he meant to tell you about the pythagorean tripes. memorizing the common ones saved you a bit of time instead of going through the tedious problem solving. these values have been worked out and are used regularly in problem examples.

Answer 12

correction: instead of pythagorean tripes, I meant to type Pythagorean triples

Answer 13

@nincompoop ohhhh