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No. Here's why: you have a² + b² = c². If a is odd, then a² will also be odd (and if a is even, then a² will also be even. Same goes true for b² and c².
If a² & b² are both odd, then you have odd + odd, which is even. Why is {odd + odd} always even, you may ask. An informal proof could be something like this:
- Let m & n be non-zero integers.
- So 2m and 2n are guaranteed to be even,
- then (2m + 1) & (2n + 1) are both odd.
- Add them together: (2m + 1) + (2n + 1) = 2m + 2n + 2 = 2(m + n + 1) which is even.
And why is a² odd, when a is odd: if a is odd, then it does not have 2 as one of its factors. Since you square the number, you have not added any additional factors, so it still does not have 2 as a factor. If a was even, then it will have 2 as a factor, when you square it, you now have 2 as well as 2² as a factor, so the square is even as well.
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How do you find the hypotenuse to a triangle?
First of all, you have to make sure that it's a RIGHT triangle. That means that one of the angles in the triangle is 90 degrees. If not, then it's not a right triangle, and it doesn't have a hypotenuse. If it IS a right triangle, then the longest side is the hypotenuse.
Do A triangle with sides of lengths 32 60 and 68 is a right triangle?
Yes, the triangle is right-angled because 322 + 602 = 682. Given all three side lengths, you can use the Pythagorean relationship to determine whether a triangle is or is not right-angled. The right angle would be opposite the hypotenuse, 68.
Name all types of triangles for which the point of concurrency is inside the triangle?
The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles. Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle. Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.
Do all of the angles on a right angled triangle have to be the same?
No a right angled triangle consists of two acute angles and one right angle
Is a scalene triangle is a right triangle?
A scalene triangle is one where all the angles are different and all the lengths of the sides are different. A standard 3, 4, 5 triangle does fit the definition of a scalene triangle, but we would alway refer to it in the more specific case, in this case a right angled triangle.
What is the area of a triangle with a side of 12 and a right angle?
That's not enough information to determine the area of that triangle. There are an infinite number of different right triangles, with different areas, that all have one side of 12.
Which of the following could be the side measures of a right triangle?
There are no numbers on that list that could be the sides of a right triangle. Oh, all right. The following is the answer:
What type of triangle has one side twice as long as the other side?
A right triangle. * * * * * Not necessarily. All that can be said is that is is not an equilateral triangle. It can be isosceles or scalene. It can be acute angled, right angled or obtuse angled.
How do you find the hypotenuse to a triangle?
First of all, you have to make sure that it's a RIGHT triangle. That means that one of the angles in the triangle is 90 degrees. If not, then it's not a right triangle, and it doesn't have a hypotenuse. If it IS a right triangle, then the longest side is the hypotenuse.
Does a right angle triangle have equal sides?
No, all three sides of a right angle triangle cannot be equal. In a right angled triangle, the side opposite the right angle - the hypotenuse - will always be the longest side of the triangle. The remaining two sides may be equal to each other, but they don't have to be.
Number of right angles in a triangle?
0 or 1. A right triangle has one right angle. All other triangles have zero right angles.
How do you find the perimeter of a isoscles triangle all you know is the base and height?
-- Imagine what you have if you slice the triangle in half along the height ...-- You have a right triangle. One side of it is 1/2 of the base, and one side isthe height.-- The slanting side is the hypotenuse of the right triangle, and knowing whatyou know about right triangles, you can calculate its length.-- Once you do that, you have the lengths of all three sides of the original triangle,and you can calculate the perimeter.
What is the difference between an isosceles triangle and a right triangle?
In an isosceles triangle, two sides are of equal length. An isosceles triangle also has two congruent angles. An equilateral triangle is an isosceles triangle, but not all isosceles triangles are equilateral triangles. __________ A right triangle (or right-angled triangle, formerly called a rectangled triangle) has one 90° internal angle (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. An isoceles triangle has TWO sides of equal length but and equilateral triangle has THREE sides of equal length.
How do you find the hypotenuse of a right triangle with one leg measure?
You can't. With one leg measure, all you know about the triangle is one side (the leg) and one angle (the right angle). That's not enough to pin down any of the other parts of that triangle. There are an infinite number of different right triangles that all have one leg with that same length, and hypotenuses with all different lengths.
Which are measurements of the sides of a right triangle?
There are an infinite number of different right triangles. The only thing you can say about all of them is:(the square of the length of the shortest side) plus (the square of the length of the next shortest side)is equal to (the square of the length of the longest side)
What number does a triangle equal in math?
a triangle does not equal just a number. a triangle is an object that has three edges all connected at there tips. the triangle's inside angles all add up to 180 degrees. a triangle can be acute, obtuse, or right.
If you have a triangle one side is 7 cm and one side is 13 cm what is the length of the missing side?
I don't think there is enough information to answer the question, first of all, is it a right triangle? Second, is the the 13cm the hypotenuse. Assuming that 13cm is the hypotenuse, and the triangle is a right triangle, the equation would be 49+x^2=169
