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Mathematics 14 Online
OpenStudy (anonymous):

Will give medal! Please help, 1 question!

OpenStudy (anonymous):

OpenStudy (anonymous):

Well a^2+b^2=c^2

OpenStudy (anonymous):

but there are only 2 numbers?

OpenStudy (anonymous):

@ranga

OpenStudy (ranga):

Use the same similar triangle principle as the previous one we did.

OpenStudy (ranga):

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OpenStudy (ranga):

Triangles DBC and DAB are similar. DB/DA = DC/DB x/32 = 18/x solve for x.

OpenStudy (anonymous):

576?

OpenStudy (ranga):

x^2 = 576 x = sqrt(576) = ?

OpenStudy (anonymous):

24

OpenStudy (ranga):

yes.

OpenStudy (anonymous):

x=24

OpenStudy (anonymous):

ok so first part a x=24

OpenStudy (anonymous):

now part b.

OpenStudy (ranga):

In triangle ADB, use Pythagorean theorem to solve for AB. You know AD = 32 and BD = 24. Find AB.

OpenStudy (anonymous):

i don't know that theorem.

OpenStudy (ranga):

AB^2 = AD^2 + BD^2

OpenStudy (anonymous):

AB^2=32^2=24^2?

OpenStudy (ranga):

AB^2 = 32^2+ 24^2?

OpenStudy (anonymous):

i inserted the numbers?

OpenStudy (anonymous):

oh wait i meant to put a + sign not a =

OpenStudy (ranga):

That is what I corrected in my reply.

OpenStudy (anonymous):

ok.

OpenStudy (anonymous):

AB^2=1024 + 576?

OpenStudy (ranga):

Yes.

OpenStudy (anonymous):

now what

OpenStudy (ranga):

add the two numbers and solve for AB.

OpenStudy (anonymous):

AB^2=1600?

OpenStudy (ranga):

yes. But we want AB.

OpenStudy (ranga):

AB = sqrt(1600) = ?

OpenStudy (anonymous):

40

OpenStudy (anonymous):

AB=40?

OpenStudy (ranga):

yes. That is the answer to part b.

OpenStudy (anonymous):

Thanks!

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