Mathematics, 01.08.2019 07:30 rhd112458

Two sides of an obtuse triangle measure 12 inches and 14 inches. the longest side measures 14 inches. what is the greatest possible whole-number length of the unknown side?

Answers: 2

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Answers

the greates possible whole-number length of the unknown side is 7 inches

Explanation:

1) An obtuse triangle has an angle greater than 90°.

2) The longest side of an obtuse triangle is the side opposed to the greatest angle (the angle greater tha 90°).

3) If the longest side measures 14 in and the other known side measures 12 in, the upper bound of the other side is when the triangle is a right triangle whose hypotenuse is the longest side: 14 in.

4) Therefore there is an upper bound to the other side when you have a righ triangle and you can use Pytagorean theorem:

14^2 = 12^2 + x^2

=> x^2 = 14^2 - 12^2 = 196 - 144 = 52

=> x = √52

=> x = 7.2

That means that the greatest value of x is below 7.2 in, which in whole- numbers is 7 in, which is the greatest whole-number length of the unknown side.

Answer from: courtlyn8

Hi,

The largest possible number is 7 inches.

Hope this helps!

Answer from: Quest

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

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Two sides of an obtuse triangle measure 12 inches and 14 inches. the longest side measures 14 inches...

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