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Dafna1 [17]
3 years ago
8

The triangles below are similar. The ratio of the lengths of corresponding sides is 49 . a. What is the ratio (smaller to larger

) of the perimeters? b. What is the ratio (smaller to larger) of the areas? The image is of two similar triangles with proportionate side of each marked as 4 in. and 9 in. respectively.

SAT
1 answer:
Alik [6]3 years ago
8 0

Answer:

a.) 4 : 9

b.) 16 : 81

Explanation:

a.) Ratio of perimeter will still be

4 : 9

b.) The two similar triangles  ΔABC and ΔDEF as shown from the attached figures. That is

AB/DE = AC/DF = BC/EF

It is apparent that ΔAPB and ΔDEQ are also similar as all respective angles are equal. Hence,

AB/DE = AP/DQ = BP/EQ

Moreso ΔABC = 1/2 × BC × AP  and   ΔDEF = 1/2 × EF × DQ and

ΔAPB/ΔDEQ = BC/EF × AP/DQ

But 

AP/DQ = AB/DE = BC/EF

 and hence

ΔAPB/ΔDEQ = BC/EF × BC/EF

= BC^2/EF^2  and as

BC/EF = AC/DF = AB/DE

ΔAPB/ΔDEQ = AC^2/DF^2 = BC^2/EF^2

= AB^2/DE^2

Hence if sides of two similar triangles are in the ratio a:b, their areas are in the proportion a^2:b^2

As in given case sides are in the ratio of 4:9.

ratio of their areas is 4^2:9^2 or 16:81.

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The first intersection would be 7x13 (91)

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Explanation:

Choosing the wrong friends may subject you to unrealistic life expectations which will result in conflicts in your family. Keeping bad company might result in one becoming bad too. There is a saying which says "show me your friend and I will tell you who you are".

If a person keeps bad friends, there is a high possibility of the person becoming bad. A family always wants the best for its members, so, if you keep bad friends, you'll most likely have conflicts with your family because they'll be scared of you getting bad.

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4 0
2 years ago
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4.5

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<h2>                             Children & Voting</h2>

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I think children should not be allowed to vote for things such as presidents, since it's a big responsibility. But I do think, early teens and teenagers (12+) should be smart enough to elect a candidate, and predict the consequences of their election.

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