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Blizzard [7]
3 years ago
11

Can you make a triangle with lengths 10,7,15

Mathematics
2 answers:
fomenos3 years ago
4 0

Answer:

The formation of ∆ is possible .

Step-by-step explanation:

Three sides of triangle are given which are 10 , 7 & 15. And we need to determine whetherwecanmake a triangle with these three sides or not . So we know that ,

" Sum of any two sides of a triangle is Greater

than the third side "

Let ,

  • a = 10
  • b = 7
  • c = 15

Here we will see by three cases. And the formation of triangle will be possible if and only of all the three cases are possible.

<u>So , let's check </u><u>,</u>

<u>Case</u><u> </u><u>1</u><u>:</u><u>-</u><u> </u>

→ a + b > c

→ 10 + 7 > 15

→ 17 > 15

<u>Case 2:-</u>

→ b + c > a

→ 7 + 15 > 10

→ 22 > 10

<u>Case</u><u> </u><u>3</u><u> </u><u>:</u><u>-</u><u> </u>

→ a + c > b

→ 10 + 15 > 7

→ 25 > 7

Since all the three cases are true Hence formation of ∆ is possible.

<h3><u>Hence</u><u> </u><u>the</u><u> </u><u>forma</u><u>tion</u><u> of</u><u> </u><u>triangle</u><u> </u><u>is</u><u> </u><u>possi</u><u>ble</u><u> </u><u>.</u></h3>

Lerok [7]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

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