Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

Which equation can be used to find x, the length of the shorter leg?

x(x + 7) = 13
x(x + 7) = 169
x2 + (x + 7)2 = 13
x2 + (x + 7)2 = 169

Question

Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg.

Which equation can be used to find x, the length of the shorter leg?

x(x + 7) = 13
x(x + 7) = 169
x2 + (x + 7)2 = 13
x2 + (x + 7)2 = 169

xxemilianaxx · Answer

Well what do you think?

supie · Answer

Asked & Answered here.

oliviac1111 · Answer

@supie wrote:

Asked & Answered here.

thank you i failed the last assignment i didnt realize it was the same question

oliviac1111 · Answer

im not sure

Florisalreadytaken · Answer

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$$\color{red}c= 13  \ \ \ \ ; \ \ \ \ \color{orange}  a =x \ \ \ ; \ \ \ \   \color{cyan}b=(x+7) $$

$$\color{red}{c^2} = \color{orange}{a^2} + \color{cyan}{b^2}$$

can you now?

oliviac1111 · Answer

wait so this is pythagorean theorem

Florisalreadytaken · Answer

yes!

oliviac1111 · Answer

so i would do  13=x+7+x?
im really good at simple problems in Pythagorean theorem but not this

Florisalreadytaken · Answer

no, youre a bit off

it would be 
$$   \color{red}{13}^2 = \color{orange}{x}^2 + (\color{cyan}{x+7})^2 ​$$

we can also write that as $  \color{orange}{x}^2 + (\color{cyan}{x+7})^2 = \color{red}{13}^2  $ right?

which option is that (so not forget to  do the  $13^2$)

oliviac1111 · Answer

wait huh 
wich option is what

Florisalreadytaken · Answer

which option is:
$$ \color{orange}{x}^2 + (\color{cyan}{x+7})^2 = \color{red}{169} $$

oliviac1111 · Answer

b
i think

Florisalreadytaken · Answer

how about you have a look at the last one?

oliviac1111 · Answer

so its d