Table of Contents
- 1 Why is a triangle with sides of 9 12 and 15 considered a Pythagorean triple?
- 2 How do you find the side lengths of a triangle?
- 3 How do you determine if a triangle is a right triangle with side lengths?
- 4 What are the angles of a 5/12/13 triangle?
- 5 Which is the longest side of a right triangle?
- 6 How many sides does a right triangle have that are perpendicular?
Why is a triangle with sides of 9 12 and 15 considered a Pythagorean triple?
The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.
Does a triangle with the sides measuring 15cm 12cm and 9cm exists?
Therefore yes, it is a right triangle.
How do you find the side lengths of a triangle?
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
How do you know if a triangle is acute or side lengths?
It is an acute triangle. To determine whether the triangle is acute, right, or obtuse, add the squares of the two smaller sides, and compare the sum to the square of the largest side. Since this sum is greater, the triangle is acute.
How do you determine if a triangle is a right triangle with side lengths?
The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
What is the length of right triangle?
Right Triangles and the Pythagorean Theorem. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
What are the angles of a 5/12/13 triangle?
A 5 12 13 triangle contains the following internal angles in degrees: 22.6°, 67.4°, 90°. And in radians: 0.39, 1.18, and 1.57.
What kind of triangle is 4/5 6?
The three numbers 4, 5, 6 make a Pythagorean Triple (they could be the sides of a right triangle).
Which is the longest side of a right triangle?
A hypotenuse is the longest side of a right triangle. It’s the side that is opposite to the right angle (90°).
How to find the area and sides of a right triangle?
To find the area and sides of a right triangle, use this handy right triangle calculator. The side opposite the right angle is the hypotenuse. The Pythagorean theorem is used to solve for the length of the hypotenuse. If a right triangle has legs measuring a and b with hypotenuse c, the Pythagorean theorem is a² + b² = c².
How many sides does a right triangle have that are perpendicular?
A right triangle has two sides perpendicular to each other. Sides “a” and “b” are the perpendicular sides and side “c” is the hypothenuse.
How do you find the length of altitude of a triangle?
Divide the length of the shortest side of the main triangle by the hypotenuse of the main triangle. Multiply the result by the length of the remaining side to get the length of the altitude. Alternatively, the angles within the smaller triangles will be the same as the angles of the main one, so you can perform trigonometry to find it another way.