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To determine the length of the longest side of the triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, the sum of the two short sides (3 and 4 inches) is 7 inches. Therefore, the longest side must be less than 7 inches in order for the triangle to be valid.

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5mo ago

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A triangle with sides of lengths 12 15 and 20 is a right triangle?

False. It can't be.In a right triangle, the sum of the squares of the two short sides is equal to the squareof the longest side.122 = 144152 = 225-------------sum = 369202 = 400, not 369.So these are not the sides of a right triangle.


What could be the ratio of the length of of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?

In a 30° 60° 90° triangle, the ratio (long leg)/hypotenuse = sqrt(3)/2 ~ 0.866The ratio (short leg)/hypotenuse = 1/2 = 0.5


The length of the rectangle below is 26.63 inches. If the diagonal makes an angle of 42.6 and ordm with this side find the measure of the width of the rectangle rounded to the nearest tenth of an inch?

The diagonal creates a right angled triangle with one pair of long and short sides - the diagonal is the hypotenuse. We know the angle between the long side (adjacent) and hypotenuse as 42.6°; We want to find the length of the short (width) side (opposite). We can use the Tan ratio: tan = opposite/adjacent → opposite = adjacent × tan → width = 26.63 in × tan 42.6° = 24.487... in → width is 24.5 inches to the nearest tenth of an inch.


The hypotenuse of a 30 60 90 triangle has a length of 17 What is the length of the side opposite the 60 angle?

I know that the side lengths of a 30 60 90 triangle have a relationship. Opposite from the 30 degree angle is the smallest side of the triangle, since a small angle can only hold a small side. Opposite from the 90 degree angle is the longest side since 90 is the largest of the angles. This side is also called the hyponteneuse. Across from the 60 degree angle, the medium-sized angle, is the medium side. The relationship between the sides of this special right triangle is short side = x big side or hypoteneuse = 2x (in other words, twice as long as the short side) medium side = x times the square root of 3 (or about 1.7 times as long as the short side) So if the hypoteneuse is 17 units long, the short side is half as long or 8.5 units. The medium side is 8.5 x sqrt3 or about 14.72 units long.


What is the ratio of the length of the opposite leg to the length of the adjacent?

Oh, dude, you're talking about trigonometry now! The ratio of the length of the opposite leg to the length of the adjacent leg in a right triangle is called the tangent of the angle. It's calculated by dividing the length of the opposite side by the length of the adjacent side. So, like, if you're trying to find that ratio, just remember to divide and conquer!

Related Questions

Is a hypotenuse short?

It may be of any length but it is always the longest side in a right-angled triangle.


Is it possible for a triangle to have a short hypotenuse?

No because the hypotenuse is used to show which line is the longest in the triangle therefore it will always be the longest.


How tall should the a gun cabinet be?

No real way to answer that, except it will depend on the length of the guns you want to store in it. Some are quite short, some are very long. I would add 4 inches to the length of the longest gun to have room to move them.


What is a triangle with two acute angles which are equal and one right angle?

That's an isosceles right triangle. The two acute angles are both 45 degrees. The two shorter sides both have the same length, and the longest side is 41.421% longer than either of the short ones.


How do you find the perimeter of a right angle when the length is 8 and the width is 8?

A "right angle" doesn't have a perimeter. From the rest of the question, we suspect that you might have meant to say a "right triangle", but that's just a guess. The perimeter of any triangle is the sum of the lengths of all three sides. In a right triangle, the length of the longest side is the square root of the sum of the squares of the two short sides. We're sure you can handle it from here.


Can you draw a triangle that has sides that are 2 inches 3 inches and 10 inches explain?

no, because if the longest side is more than the sum of the other two sides there would be no way to connect them. If the two shorter side added together equaled the long side then you would have a straight line. So obviously to make a triangle the two short sides added together must be more than the long side.


What is considered a short barreled shotgun?

Any shotgun with a barrel length of less than 18 inches and/or an overall length of less than 26 inches.


What is a short firearm?

A weapon with a barrel length of less than 12 inches.


A right triangle the longest side must be 15 inches long One of the short sides must be 8 inches How many inches long will he make the other side?

Let ^ mean to the power of...i.e. x^2 means x squared. Pythagorous states a^2 + b^2 = c^2 (where c is the longest side) therefore a^2 + 8^2 = 15^2 a = squareroot ( 225-64 ) a=12.688577


Find the missing length for a right triangle where the short side is 9 cm and the hypotenuse is 30cm?

The length of the other side is: 28.6 cm


What is the longest short story that can be written before turning into a full length novel?

ummm i don't know


What is the short leg length of a 90 degree triangle when the long leg equals 11?

There is not enough information to answer the question.