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If the area of triangle ABC is 15, what ...

If the area of triangle ABC is 15, what is the length of AC ?

A

`2.1`

B

`4.1`

C

`6.2`

D

`8.2`

Text Solution

Verified by Experts

The correct Answer is:
C
Use the given angle to find the ratio of the legs :
`(BC)/(AC)=tan 38^(@)~~0.781`
If you call AC (the leg you're looking for) x, then you can call leg BC 0.781 x. Half the product of the legs is the area, or 15 :
Area `=(1)/(2)("leg"_(1))("leg"_(2))`
`15=(1)/(2)(x)(0.781 x)`
`0.781 x^(2)=30`
`x^(2)=(30)/(0.781)~~38.4`
`x ~~ 6.2`
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KAPLAN-PRACTICE TEST 2 -PRACTICE TEST
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