Triangle ABC has sides with lengths of 11, 18, and 8 units. Determine whether this triangle is a right triangle.
1 answer:
Answer:
Not a right triangle.
Step-by-step explanation:
If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, , so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal:
. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that
according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.
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<u><em>Answer:</em></u>
The longest bread stick is approximately 16 in
<u><em>Explanation:</em></u>
The diagram representing the tray is shown in the attached image
From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in
<u>Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:</u>
c² = a² + b²
where c is the length of the hypotenuse and a and b are the length of the two legs
<u>Substitute with the givens in the above equation to get the length of the hypotenuse as follows:</u>
c² = (9.5)² + (13)² = 259.25
c = 16.1 in which is approximately 16 in
<u>From the above, we can conclude that:</u>
The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in
Hope this helps :)
