Correct answer: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.

Does 7 10 12 make a right triangle?

Answer Expert Verified. The triangle that has side lengths of 7, 10, and 12 is not a right triangle. The correct answer is B.

How do you find the length of the sides of a right triangle?

Key Points

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
2. In a right triangle, one of the angles has a value of 90 degrees.
3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

Does 6 8 and 10 make a right triangle?

Answer: Yes, a triangle having sides of length 6, 8, 10 is a right triangle.

Does 4 7 8 make right triangles?

These numbers are not equal so the triangle doesn’t follow the theorem – therefore it is not right-angled.

What is the missing length of a triangle?

Answer. Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.

Does 10 9 and 15 make a right triangle?

Explanation: By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

Does 5 12 and 13 form a right triangle?

Yes, a right triangle can have side lengths 5, 12, and 13. To determine if sides of length 5, 12, and 13 units can make up the sides of a right…

Does 4 5 6 make right triangles?

For a set of three numbers to be pythagorean, the square of the largest number should be equal to sum of the squares of other two. Hence 4 , 5 and 6 are not pythagorean triple.

Does 10 24 26 form a right triangle?

Yes. For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side. Thus, this is a right triangle if 10^2+24^2=26^2. Expanding these squares, we have 100+576=676, which is true.

Does 20 21 and 29 make a right triangle?

. The right triangle having these side lengths is sometimes called the 3, 4, 5 triangle. One side may have two of these divisors, as in (8, 15, 17), (7, 24, 25), and (20, 21, 29), or even all three, as in (11, 60, 61). …

What are the side lengths of a 30 60 90?

30°-60°-90° Triangles The measures of the sides are x, x√3, and 2x. In a 30°−60°−90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.

What is the length of side C of a triangle?

Put another way, if you know the lengths of a and b, you can find c. In the triangle above, you are given measures for legs a and b: 5 and 12, respectively. You can use the Pythagorean Theorem to find a value for the length of c, the hypotenuse. Using the formula, you find that the length of c, the hypotenuse, is 13.

How do you find the length of the third side of a triangle?

Pythagorean Theorem for the Third Side of a Right Angle Triangle. The Pythagorean Theorem is used for finding the length of the hypotenuse of a right triangle. So, as long as you are given two lengths, you can use algebra and square roots to find the length of the missing side.

Will the lengths 4/9 and 5 form a triangle?

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Does 7 9 and 11 make a right triangle?

Answer: False – a triangle with side lengths 7, 9, and 11 is not a right triangle.

Does 6 7 and 9 make a right triangle?

If the square of the longest side is equal to the sum of the squares of the other 2, it’s a right triangle. If it’s less, it’s scalene. If it’s more, it’s obtuse.

Can 7 9 and 13 form a triangle?

The sum of 7 and 9 is 16 and 16 is greater than 13 . The sum of 7 and 13 is 20 and 20 is greater than 9 . This set of side lengths satisfies the Triangle Inequality Theorem. These lengths do form a triangle.

Does 9 12 and 15 make a right triangle?

Does 9 12 15 form a right triangle?

What do you call the longest side of a right triangle?

hypotenuse
In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle.

Can a 30 40 50 Make a right triangle?

Pythagoras’s Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle.

Which is the correct formula for a right triangle?

In a right triangle with cathetus a and b and with hypotenuse c, Pythagoras’ theorem states that: a² + b² = c². To solve for c, take the square root of both sides to get c = √(b²+a²). This extension of the Pythagorean theorem can be considered as a “hypotenuse formula”.

Which is the correct definition of a right angled triangle?

The definition is very simple and might even seem obvious for those who already know it: a right-angled triangle is a triangle where one and only one of the angles is exactly 90°. The other two angles will clearly be smaller than the right angle because the sum of all angles in a triangle is always 180°.

Which is the most special right triangle in the world?

For those interested in knowing more about the most special of the special right triangles, we recommend checking out the 45 45 90 triangle calculator made for this purpose. Another very interesting triangle from the group of special right triangles is the so-called “30 60 90” triangle.

When do you divide a square by the diagonal do you get a right triangle?

This right triangle is the kind of triangle that you can obtain when you divide a square by its diagonal. That is why both catheti (sides of the square) are of equal length. For those interested in knowing more about the most special of the special right triangles, we recommend checking out the 45 45 90 triangle calculator made for this purpose.