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Mathematics 19 Online
OpenStudy (lovelyharmonics):

solve the triangle

OpenStudy (lovelyharmonics):

Solve the triangle. A = 50°, b = 13, c = 6|dw:1397774889821:dw|

OpenStudy (lovelyharmonics):

Would it be like a/sin29= 6/sinc

ganeshie8 (ganeshie8):

yes but that comes later, first find the side \(\large a\) using cosine law

OpenStudy (lovelyharmonics):

you mean pathagrum therm?

ganeshie8 (ganeshie8):

this is not a right triangle to apply pythagorean theorem

ganeshie8 (ganeshie8):

cosine law : \(\large a^2 = b^2 + c^2 - 2bc\cos(A)\)

ganeshie8 (ganeshie8):

looks familiar ?

OpenStudy (lovelyharmonics):

not at all c: but is this right? 6^2 +13^2 -2(6)(13)cos(50)

ganeshie8 (ganeshie8):

Looks perfect !

ganeshie8 (ganeshie8):

dont forget, that quantity equals \(\large a^2\), so u need to take square root of that to get \(\large a\)

OpenStudy (lovelyharmonics):

wait what .-.

ganeshie8 (ganeshie8):

a^2 = 6^2 +13^2 -2(6)(13)cos(50)

OpenStudy (lovelyharmonics):

okay i got 54.465

ganeshie8 (ganeshie8):

\(\large a = 10.234\)

OpenStudy (lovelyharmonics):

but... my calculator said 54.465...

ganeshie8 (ganeshie8):

burn ur calculator... trust wolfram :)

ganeshie8 (ganeshie8):

check if you're in radians mode..

OpenStudy (lovelyharmonics):

0.0 but that website dosent even tell you the answer! where are you finding 10.234 anywhere on there?

ganeshie8 (ganeshie8):

scroll down to the last, and click on "Approximate forms"

OpenStudy (lovelyharmonics):

oh c: okay thank you

ganeshie8 (ganeshie8):

so you have all the sides... next apply sine law to find the second angle

ganeshie8 (ganeshie8):

|dw:1397775939950:dw|

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