Given ABC~XYZ calculate the value of XY and AC. Round to the nearest tenth (Points : 2) XY = 3.5, AC = 11 XY = 11, AC = 5.3 XY = 3.5, AC = 0.08 XY = 5.3, AC = 11
@jim_thompson5910
@jim_thompson5910
@stamp
@Shido88
@sharon_penn
@whpalmer4
Those are similar triangles according to the problem statement. That means that the corresponding sides are in the same proportion. Do we have any side of the two triangles where we know the length on both triangles?
@whpalmer4 IDK
Well, look at them :-)
The triangles are oriented in the same way, so the corresponding sides are in the same places. Do you know the length of the hypotenuse of both triangles? Do you know the length of the right hand side of both triangles? Do you know the length of the base of both triangles?
:P
one is a small triangle and one is a big triangle
@whpalmer4
Which sides are labeled with a length?
@zepdrix
both
Triangles have 3 sides. The triangle on the left has sides AC, AB, and BC. The triangle on the right has sides XZ, XY, and YZ. AC corresponds to XZ. AB corresponds to XY. BC corresponds to YZ. For any of those pairs, do you see a number next to that side on both triangles?
@whpalmer4 no i dontt
Keep looking until you do. Look at BC and YZ. Figure out the ratio. The other sides will be in the same ratio.
Good luck, I have to leave.
9 and 4.5
@zepdrix can u keep helping me?
Okay, so the side on the big triangle is 9/4.5 = 2 times the side on the small triangle. Now use that ratio to find the missing sides.
5.5 and 4.5
Mmm...no. The side on the big triangle is 2* the side on the small triangle. AB (bottom of the big triangle) is 7. If 7 is 2* XY, what is the length of XY? The hypotenuse on the big triangle is 2* the hypotenuse on the small triangle. XZ (hypotenuse of small triangle) is 5.5. What does that make AC?
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