0
Can a triangle with side lengths of 20 21 28 be a right triangle?
Wiki User
∙ 11y ago
We could be able to tell this through the use of the Pythagorean theorem. Unfortunately, we may only be able to attempt this, If we assume that your hypotenuse is the last measurement. A and B can be either leg of the triangle, however, "C" must always be the hypotenuse.
So we'll test out using each value as the hypotenuse.
Pythagorean theorem: A2 + B2 = C2
So using this we'll begin by a = 20, b = 21, c = 28:
- 202 + 212 = 282
- 400 + 441 = 784
- 841 = 784
- 841 does not equal 784
Therefore, using 28 as the hypotenuse yields a triangle that is not a right triangle.
Secondly, we'll use a = 20, b = 28, c = 21
- 202 + 282 = 212
- 400 + 784 = 441
- 1184 = 441
- 1184 does not equal 441
Therefore, using 21 as the hypotenuse yields a triangle that is not a right triangle.
Lastly, we'll use a = 28, b = 21, c = 20
- 282 + 212 = 202
- 784 + 441 = 400
- 1225 = 400
- 1225 does not equal 400
Therefore, the measurements 20, 21, and 28, no matter which is used as the hypotenuse can yield a right triangle.
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
Can you have a triangle with side lengths of 20 centimeters 40 centimeters and 50 centimeters?
Yes you can.
A right triangle has sides of lengths 15 and 20 and 25 units. What is the perimeter of the and 8203 triangle?
The perimeter of any triangle is the sum of its 3 sides
Is A triangle with sides of lengths 12 15 and 20 a right triangle?
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.
How do you find the length of third side of a triangle given two sides and permeter of the triangle?
Subtract the two side lengths from the perimeter. The perimeter of a triangle is just the length of the 3 sides added together. Eg. Q: A triangle has a perimeter of 20 m. One side is 5m and another is 10m. How long is the 3rd side? A: Perimeter - side 1 - side 2 = side 3 Side 3 = 20 - 5 - 10 = 5 m
Is a triangle with sides of lengths 20 21 and 29 a right triangle?
Yes. Using Pythagorean's theorem: 202+212 = 400+441 = 841 = 292 = 841
Can a triangle be made with side lengths of 20 20 and 40?
No
A triangle with sides of lengths 20 21 and 29 is a right triangle?
True
The lengths of the legs of a right triangle are 15 centimeters and 20 centimeters What is the length of the hypotenuse?
The lengths of the legs of a right triangle are 15 cm and 20 cm. What is the length of the hypotenuse?
Triangle with sides of lengths 20 21 and 29 is a right triangle true or false?
TRUE
Can you have a triangle with side lengths of 20 centimeters 40 centimeters and 50 centimeters?
Yes you can.
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.
Is it possible for a triangle to have side lengths of 20 9 8?
It is not possible because 9+8 is not greater than 20.
A right triangle has sides of lengths 15 and 20 and 25 units. What is the perimeter of the and 8203 triangle?
The perimeter of any triangle is the sum of its 3 sides
Is a triangle with sides of lengths 20 21 and 29 a right triangl?
Yes because the given dimensions comply with Pythagoras's theorem for a right angle triangle.
How do you know if a triangle is a right triangle using the pythagorean therom?
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).
Is a triangle with side of lengths 12 15 and 20 a right angle?
No, but it is close. The pythagorean theorem for right trianles is x^2 + y^2 = z^2 12^2 + 15^2 = 369 z = 19.21, not quite 20
The side of a triangle 78cm 20 cm and 22cm find its area?
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.
