No
No, they do not represent a right triangle.
The length of the hypotenuse of a right triangle with legs of lengths 6 and 8 inches is: 10 inches.
To determine if the lengths 75, 10, and 95 can form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Here, the longest side is 95. Checking the equation: (75^2 + 10^2 = 5625 + 100 = 5725) and (95^2 = 9025). Since (5725 \neq 9025), the lengths 75, 10, and 95 do not form a right triangle.
A triangle with side lengths of 8 ft, 10 ft, and 13 ft is classified as a scalene triangle because all three sides are of different lengths. Additionally, it is also a right triangle, as it satisfies the Pythagorean theorem (8² + 10² = 64 + 100 = 164, and 13² = 169). Thus, this triangle has one right angle.
Information about the lengths of two sides of a triangle is insufficient to determine its area.
No, they do not represent a right triangle.
No because it does not comply with Pythagoras; theorem if the lengths were 10, 24 and 26 then it would be.
The length of the hypotenuse of a right triangle with legs of lengths 6 and 8 inches is: 10 inches.
Yes.
To determine if the lengths 75, 10, and 95 can form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Here, the longest side is 95. Checking the equation: (75^2 + 10^2 = 5625 + 100 = 5725) and (95^2 = 9025). Since (5725 \neq 9025), the lengths 75, 10, and 95 do not form a right triangle.
10(radical "2") units, or about 14.1 units.
10 units in length
True because it complies with Pythagoras' theorem.
A triangle with side lengths of 8 ft, 10 ft, and 13 ft is classified as a scalene triangle because all three sides are of different lengths. Additionally, it is also a right triangle, as it satisfies the Pythagorean theorem (8² + 10² = 64 + 100 = 164, and 13² = 169). Thus, this triangle has one right angle.
Information about the lengths of two sides of a triangle is insufficient to determine its area.
false In order for this to be a right triangle, the sum of the squares of the two shorter sides would have to equal the square of the longest side. 102=100 242= 576 272=729 102+242= 676, which does not equal 272=729, so a triangle with these lengths is not a right triangle.
Yes. The side lengths of a triangle may measure 6, 8, and 10. It satisfies the triangle inequality (the sum of any two sides is greater than the third). Moreover, it forms a multiple of the common 3-4-5 right triangles.