No.
(20)2 = 400
(21)2 = 441
(20)2 + (21)2 = 881
(30)2 = 900
(20)2 + (21)2 is not equal to (30)2
TRUE
We know that a right triangle is a triangle having a right angle, where the side opposite the right angle is the hypotenuse, and the perpendicular sides are the legs of the right triangle. The Pythagorean theorem gives the relationship between the lengths of the sides of a right triangles. In the case where you know only the measure lengths of the sides of a triangle, you need to test these measures. If one of the sides of the triangle has a square measure equal to the sum of the square measures of two other sides, then this side is called the hypotenuse and opposite to this side is a 90 degree angle, which is a right angle. So, you can say that this triangle is a right triangle. Pythagorean triple are very helpful to determine a right triangle, such as: (3, 4, 5), (5,12,13), (8, 15, 17), (7, 24, 25), and (20, 21, 29).
Triangle inequality says that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.Since 15 + 5 = 20 < 25, we cannot draw a triangle.
Multiples of 3, 4, 5 because 32 + 42 = 52 for example sides can be 6, 8, 10 or 15, 20, 25 or 9, 12, 15 etc. of course the largest number of each set will be the hypotenuse.
20, 70, 90
True
TRUE
The perimeter of any triangle is the sum of its 3 sides
Yes because the given dimensions comply with Pythagoras's theorem for a right angle 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.
The lengths of the legs of a right triangle are 15 cm and 20 cm. What is the length of the hypotenuse?
Yes. Using Pythagorean's theorem: 202+212 = 400+441 = 841 = 292 = 841
No. Pythagoras' theorem states that when the square of the hypotenuse is equal to the sum of the squares of the other two sides then it is a right-angled triangle. The hypotenuse is the longest side (opposite the supposed right angle). In this case the hypotenuse is 20. The square of 20 is 400. The other two sides are 12 and 15. The square of 12 is 144 and the square of 15 is 225. The sum is therefore 225 + 144 = 369, which is not equal to 400, therefore the triangle cannot be a right-angled triangle.
We know that a right triangle is a triangle having a right angle, where the side opposite the right angle is the hypotenuse, and the perpendicular sides are the legs of the right triangle. The Pythagorean theorem gives the relationship between the lengths of the sides of a right triangles. In the case where you know only the measure lengths of the sides of a triangle, you need to test these measures. If one of the sides of the triangle has a square measure equal to the sum of the square measures of two other sides, then this side is called the hypotenuse and opposite to this side is a 90 degree angle, which is a right angle. So, you can say that this triangle is a right triangle. Pythagorean triple are very helpful to determine a right triangle, such as: (3, 4, 5), (5,12,13), (8, 15, 17), (7, 24, 25), and (20, 21, 29).
If a right triangle has sides of 16Cm and 12Cm, the hypotenuse is: 20 cm
No, it is not possible to draw a triangle with side lengths of 150, 20, and 20. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 20 + 20 is less than 150, so the given side lengths do not satisfy this theorem, making it impossible to form a triangle.
It is not possible to have a triangle with sides of those lengths. The two shortest sides of a triangle must always add to more than the longest side. This is known as the triangle inequality.