2 years ago

What is the smallest whole number larger than the perimeter of any triangle with a side of length 5 and a side of length 19?

Mathematics

1 answer:

vivado [14]2 years ago

4 0

Answer:

Step-by-step explanation:

The maximum third side length of a triangle with two sides 5 and 19 is 5+19-1=23. Therefore, the maximum perimeter of a triangle with the two side lengths given is 5+19+23=47.

The smallest whole number larger than this is 48.

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krek1111 [17]

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3 years ago

What is the length of line segment KJ?

Karolina [17]

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

$KJ^2=KM^2+MJ^2$