Is it possible to have a triangle with sides 10 cm, 8 cm and 6 cm?
If yes, will it be a right angled triangle? ?
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Answered by
15
Answer:
Yes, triangle is possible.
Yes, it's a right angled triangle.
Step-by-step explanation:
Given the length of three sides 10 cm, 8 cm and 6 cm.
We have to find whether triangle is possible or not with the given sides.
Since sum of any two sides is greater than the third side,
- 10 cm + 8 cm > 6 cm
- 8 cm + 6 cm > 10 cm
- 10 cm + 6 cm > 8 cm
So the answer is yes, triangle is possible.
Now, in a right angled triangle, sum of squares of the two sides must be equal to the square of the largest side (hypotenuse).
=> (8 cm)² + (6 cm)² = (10 cm)²
=> 64 cm² + 36 cm² = 100 cm²
=> 100 cm² = 100 cm²
Hence a right angled triangle is possible with the given sides.
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Answer:
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Step-by-step explanation:
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