Do the side lengths 4, 5, and 10 form a triangle? Select the correct answer and reasoning.
1 answer:
Answer:
No, because 5 + 4 isn't greater than 10.
Step-by-step explanation:
Given
Required
Do they form a triangle
To check if they form a triangle or not, we make use of trinagle inequality theorem which states that; for sides a, b and c
So for sides 4, 5 and 10, we have:
--- False
<em>Since the one of the inequalities is false, then the sides do not form a triangle.</em>
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The sum of 3.0478 and 4.92 is , which have 5 significant digits.
<u>Step-by-step explanation:</u>
We have , and
. The significant digits of a number are digits that includes all digits except:
- All leading zeros. For example, "013" has two significant figures: 1 and 3;
- Trailing zeros when they are merely placeholders to indicate the scale of the number and ,
- Spurious digits introduced, for example, by calculations carried out to greater precision than that of the original data, or measurements reported to a greater precision than the equipment supports.
Here and with significant digit rules
. Now, Sum of both numbers =
⇒Sum of both numbers =
⇒Sum of both numbers =
∴ The sum of 3.0478 and 4.92 is , which have 5 significant digits.