Triangle A has sides of lengths #32 #, #48 #, and #64 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the possible lengths of the other two sides of triangle B?

Answer 1

Triangle A:#32, 48, 64#
Triangle B: #8, 12, 16#
Triangle B:#16/3, 8, 32/3#
Triangle B:#4, 6, 8#

Given Triangle A:#32, 48, 64# Let triangle B have sides x, y, z then, use ratio and proportion to find the other sides. If the first side of triangle B is x=8, find y, z

solve for y:

#y/48=8/32#

#y=48*8/32#

#y=12# ``````````````````````````````````````` solve for z: #z/64=8/32#

#z=64*8/32# #z=16# Triangle B: #8, 12, 16#

the rest are the same for the other triangle B

if the second side of triangle B is y=8, find x and z

solve for x: #x/32=8/48# #x=32*8/48# #x=32/6=16/3#

solve for z: #z/64=8/48# #z=64*8/48# #z=64/6=32/3#

Triangle B:#16/3, 8, 32/3# ~~~~~~~~~~~~~~~~~~~~

If the third side of triangle B is z=8, find x and y #x/32=8/64# #x=32*8/64# #x=4#

solve for y:

#y/48=8/64#

#y=48*8/64# #y=6#

Triangle B:#4, 6,8#

God bless....I hope the explanation is useful.

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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.