Mathematics OpenStudy (anonymous):

find the value of y. express in simplest radical form. OpenStudy (shadowfiend):

This question doesn't make sense alone. Is there an equation involved? OpenStudy (anonymous):

a triangle OpenStudy (anonymous):

the hypotenuse is $\sqrt{85}$ the base is y and the height is 6 OpenStudy (shadowfiend):

Ok. So if it has a hypotenuse, then it is a right triangle. What equation did we say relates the sides of a right triangle? OpenStudy (anonymous):

i dont know OpenStudy (shadowfiend):

The Pythagorean theorem. Check the previous answer I gave you for what that looks like, and then let's continue. OpenStudy (anonymous):

ok but i never have done it with a radical of 85 OpenStudy (shadowfiend):

Ok, so that's fine. Once we've said that $$a^2 + b^2 = c^2$$, and we know that the hypotenuse is $$\sqrt{85}$$, we have: $y^2 + 6^2 = \sqrt{85}^2$ What's $$\sqrt{85}^2$$? OpenStudy (anonymous): OpenStudy (shadowfiend):

Not quite. The square root is the opposite of squaring something. So a square root and a square cancel out. OpenStudy (anonymous):

so it cancels all the time? OpenStudy (shadowfiend):

Right. So in $$\sqrt{x}^2 = x$$. In this case, 85. So we have: $y^2 + 6^2 = 85$ Then you can solve for $$y$$. OpenStudy (anonymous):

y2 + 65 = 85 OpenStudy (shadowfiend):

$$6^2 = 6 \cdot 6$$, which isn't quite 65. OpenStudy (anonymous):

i mean 36 OpenStudy (shadowfiend):

Right :) OpenStudy (shadowfiend):

Exactly. OpenStudy (anonymous):

so now subtract 65 from both sides? OpenStudy (shadowfiend):

Well, 36 :) OpenStudy (anonymous):

yea OpenStudy (anonymous):

y2=49 OpenStudy (anonymous):

$\sqrt{49}$ OpenStudy (anonymous):

7 OpenStudy (shadowfiend):

Pwned. Exactly. OpenStudy (anonymous):

wow why cant my teacher explain this like this easy way OpenStudy (shadowfiend):

That's a question I can't answer :) OpenStudy (anonymous):

haha yea OpenStudy (anonymous):

shadow what if the radical 19 is not the hypatenuse but its the height or base do i still keep 19 or do i do 19 x 19 OpenStudy (shadowfiend):

When you plug into the quadratic equation, you'll still have it squared. So if it's $$\sqrt{19}$$, then when you square it it will become 19. OpenStudy (anonymous):

ok thank you do you do trigonometry sin cos and tangent? OpenStudy (shadowfiend):

Sometimes. I saw your other question, but not sure what you're asking. Add some more details to it if you can. OpenStudy (anonymous):

where do i find my other question? OpenStudy (anonymous):

found it

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