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 ,
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>