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Tripling the side lengths of a right triangle increases its area by a factor of nine. The area of a triangle is calculated using the formula ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). When the base and height are both tripled, the new area becomes ( \frac{1}{2} \times (3 \times \text{base}) \times (3 \times \text{height}) = 9 \times \text{Area} ). Thus, the area grows by the square of the scale factor applied to the side lengths.
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What triangle has one right angle and all three sides are different lengths?
A triangle with a right angle and different lengths for sides is a right, scalene triangle.
Can 7 8 and 9 be side lengths of a right triangle?
Yes... but not of the same right triangle. A right triangle's side lengths a, b, and c must satisfy the equation a2 + b2 = c2.
Can 7 40 41 be the side lengths of a right triangle?
No because the given lengths don't comply with Pythagoras' theorem for a right angle triangle.
Why does doubling the side lengths of a right triangle affect it perimeter?
Doubling the side lengths of a right triangle increases each side by a factor of two. Since the perimeter is the sum of all three sides, the new perimeter becomes twice the original perimeter. Therefore, if you double the side lengths, the perimeter also doubles. This change maintains the triangle's shape but scales it proportionally.
Can the set of lengths be the side lengths of a right triangle 7ft 12ft 17ft?
No because the given sides do not comply with Pythagoras' theorem for a right angle triangle.
What triangle has one right angle and all three sides are different lengths?
A triangle with a right angle and different lengths for sides is a right, scalene triangle.
What is a triangle where the sides are different lengths?
A right triangle * * * * * No, it is a scalene triangle.
Can 7 8 and 9 be side lengths of a right triangle?
Yes... but not of the same right triangle. A right triangle's side lengths a, b, and c must satisfy the equation a2 + b2 = c2.
Can 7 40 41 be the side lengths of a right triangle?
No because the given lengths don't comply with Pythagoras' theorem for a right angle triangle.
What is the length of the hypotenuse of a right triangle with legs of lengths 5 and 12?
The length of the hypotenuse of a right triangle with legs of lengths 5 and 12 units is: 13The length of a hypotenuse of a right triangle with legs with lengths of 5 and 12 is: 13
To what do the internal angles of a triangle add?
In Euclidean geometry, 180. Other answers are possible, depending on the surface on which the triangle is drawn.
Why does doubling the side lengths of a right triangle affect it perimeter?
Doubling the side lengths of a right triangle increases each side by a factor of two. Since the perimeter is the sum of all three sides, the new perimeter becomes twice the original perimeter. Therefore, if you double the side lengths, the perimeter also doubles. This change maintains the triangle's shape but scales it proportionally.
What are the side lengths of a triangle with an area of 6?
If its a right angle triangle then its side lengths could be 3, 4 and 5
Can the set of lengths be the side lengths of a right triangle 7ft 12ft 17ft?
No because the given sides do not comply with Pythagoras' theorem for a right angle triangle.
Can you determine if a triangle is a right triangle by knowing its side lengths?
Yes, you can determine if a triangle is a right triangle by using the Pythagorean theorem. According to this theorem, if the lengths of the sides of a triangle are (a), (b), and (c) (where (c) is the longest side), the triangle is a right triangle if (a^2 + b^2 = c^2). If this condition holds true, the triangle has a right angle.
A triangle has sides of lengths 4 3 and 5 is it a right triangle?
Yes, it is.
A triangle with sides of lengths 33 56 and 65 is a right triangle?
true
