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Flura [38]
3 years ago
12

ΔABC is similar to ΔDEF. The ratio of the perimeter of ΔABC to the perimeter of ΔDEF is 1 : 5. If the longest side of ΔDEF measu

res 15 units, what is the length of the longest side of ΔABC?
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

Length of the longest side of ΔABC = 3 units

Step-by-step explanation:

If two similar triangles have a scale factor a:b, then the ratio of perimeters is also a:b.

Here, the converse is applied.

The perimeter of similar triangles is in the ratio 1:5, so, the corresponding lengths are also in the ratio 1:5

Perimeter of ΔABC : Perimeter of ΔDEF = 1:5

Longest side of ΔABC : Longest side of ΔDEF = 1:5

Longest side of ΔABC : 15 = 1:5

∴ Longest side of ΔABC = (1/5) * 15 = 3 units

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<h3>What is probability?</h3>

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Every time you roll a 1 or 2 you are successful, and your friend will pay you $1. Every time you roll a 3, 4, 5 or 6, you must pay your friend $2.

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