Triangle A has sides of lengths #36 #, #45 #, and #27 #. Triangle B is similar to triangle A and has a side of length #3 #. What are the possible lengths of the other two sides of triangle B?

Answer 1

Side #1=4#
Side #2=5#

Triangle #A# has sides #36,45,27# Triangle #B# has sides #?,?,3# #3/27=1/9# Similarly by ratio of #1/9# we can find the other sides of Triangle #B# #36times1/9=4# --------------Side #1# and #45times1/9=5#----------Side #2#

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Answer 2

Sophia Alfred

Since Triangle B is similar to Triangle A, the ratios of corresponding sides of the two triangles will be equal. Let's denote the sides of Triangle B as ( x ) and ( y ), where ( x ) is given as 3.

Using the ratios of corresponding sides, we can set up the proportion:

[ \frac{x}{36} = \frac{3}{45} ]

Solving for ( y ) in the proportion:

[ \frac{3}{36} = \frac{y}{27} ]

Therefore, the possible lengths of the other two sides of Triangle B are ( x = 3 ) and ( y = 2.25 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.