Please help! Pythagorean theorem. I'll give medals. Analyze the diagram below and complete the instructions that follow. Find the length of the hypotenuse of triangle QPO. A.5 B.10 C.12 D.13

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Please help! Pythagorean theorem. I'll give medals. Analyze the diagram below and complete the instructions that follow. Find the length of the hypotenuse of triangle QPO. A.5 B.10 C.12 D.13

Mathematics
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@ganeshie8 please help!
@Hero please help

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\[\huge\rm a^2+b^2=c^2\]Pythagorean theorem substitute a,b,c for their values then solve for x c=hypotenuse
which sides would be a, b, and c?
that's what i have trouble with mainly.
|dw:1439142571182:dw| longest side of right triangle is hypotenuse (c)
|dw:1439142621480:dw|
so x+5^2 + 5^2 = x+6^2??
put the parentheses \[\huge\rm (x+5)^2+5^2 =(x+6)^2\]
sweet
can you solve for x ?
I got 7
but thats not an answer
yes right bec |dw:1439142894934:dw| you need the length of OQ 7 is just x so replace x with 7 add 6
13?
looks good!!
I have one more question if thats ok?
i'll try
i hve few minutes
Find the unknown side length, x. Write your answer in simplest radical form.
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first apply the Pythagorean theorem for small right triangle
a) 4 b) sq rt 65 c) 11 d) 5 sq rt 13
|dw:1439143086956:dw|
so would that be 3^2+b^2=5^2
|dw:1439143095027:dw|applly the thoream to find red side
yes right and now you should remember this triangle very special triangle 3,5,?
7? lol i dont really know
now solve for b
\(\color{blue}{\text{Originally Posted by}}\) @iwanttolearn1212 so would that be 3^2+b^2=5^2 \(\color{blue}{\text{End of Quote}}\) right solvefor b
it's 4?
yes right so if in the future they give you two sides of right triangle 3,4 you should know that 3rd side is 5 without solving it
sweet thank you
but the final answer isnt 4 right
|dw:1439143298897:dw| now apply the Pythagorean theorem to find x (red trriangle )
sweet
no bec we need x
its B
\(\huge \color{green}{\checkmark}\) nice
thank you!!!
alright gtg bye my pleasure:=)

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