SOLUTION: I do my home work on khanacademy.org and I am doing Pythagorean Theorem. It keeps giving me problems that show a right triangle with two side lengths and I have to find the third l
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Question 937768: I do my home work on khanacademy.org and I am doing Pythagorean Theorem. It keeps giving me problems that show a right triangle with two side lengths and I have to find the third length and answer it like this, for example: It shows me how I got it wrong but I don't understand how they get the answer so they gave me a triangle that has one leg as "a", another as 5, and the hypotenuse as 9. I put it into an equation of and then subtracted 25 from both sides and got and then I did the factor tree with the square root of 56 and had 2 * 24 and then from 24 I had 2 * 12 and then from 12 I had 2 * 6 and from 6 I had 3 * 2. After that I put the answer in as but it said it was wrong and told me the answer was but I don't understand how they got that and also why that is the answer. Please help me understand and thank you for your using your time to help me. Found 2 solutions by MathLover1, MathTherapy:Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!
I do my home work on khanacademy.org and I am doing Pythagorean Theorem. It keeps giving me problems that show a right triangle with two side lengths and I have to find the third length and answer it like this, for example: It shows me how I got it wrong but I don't understand how they get the answer so they gave me a triangle that has one leg as "a", another as 5, and the hypotenuse as 9. I put it into an equation of and then subtracted 25 from both sides and got and then I did the factor tree with the square root of 56 and had 2 * 24 and then from 24 I had 2 * 12 and then from 12 I had 2 * 6 and from 6 I had 3 * 2. After that I put the answer in as but it said it was wrong and told me the answer was but I don't understand how they got that and also why that is the answer. Please help me understand and thank you for your using your time to help me.
When you got: , and you factored 56 by using the factor tree, you needed to find factors of 56, that
INCLUDES its LARGEST PERFECT SQUARE. That is: 4 * 14, since 4 is the LARGEST PERFECT SQUARE FACTOR of 56. now becomes: , and when SEPARATED becomes: , and finally:
