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Mathematics 12 Online
bill533:

https://i.imgur.com/hRmUyn3.jpg

bill533:

@SmokeyBrown

SmokeyBrown:

Notice that the sides of the smaller triangle are 2/3 the lengths of the larger triangle

bill533:

C.

bill533:

right ?

SmokeyBrown:

Nah, the missing side should be 2/3 of 12

bill533:

8 centimeters

SmokeyBrown:

Yup, that's it

bill533:

https://i.imgur.com/WxZH3Q4.jpg

SmokeyBrown:

Well, the missing side of the larger triangle should be 1.5 times the matching side of the smaller triangle

bill533:

17 cm

SmokeyBrown:

Pretty close. Did you multiply 12 by 1.5?

bill533:

oh i'm sorry it's 18

SmokeyBrown:

Yeah that's right

bill533:

https://i.imgur.com/hMYko4U.jpg

SmokeyBrown:

So, these two triangles share a side as well as two angles. Which rule would apply in that case?

bill533:

C

bill533:

OR A

SmokeyBrown:

Yeah I think A is correct

bill533:

https://i.imgur.com/oFfxQL2.jpg

SmokeyBrown:

The shadow of the tree is 2.5 times longer than the shadow of the person, so the height of the tree should be 2.5 times the height of the person

bill533:

D

SmokeyBrown:

Not quite. 18 is 3 times 6, not 2.5 times 6

bill533:

15

SmokeyBrown:

Yes that's right

bill533:

https://i.imgur.com/7IpT5ND.jpg

SmokeyBrown:

Well, the large triangle has a diagonal side equal to 12+6, or 18. The small triangle has a matching side with a length of 12. So, we know that the lengths of the small triangle are 2/3 of the larger triangle. The vertical of the large triangle is 15, so what should be the vertical of the small triangle?

bill533:

it would be D

bill533:

?

bill533:

WHAT DO YOU THINK SMOKE?

SmokeyBrown:

Oh yeah that's 10 right? I agree

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