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What is the name given to the longest side of a right angled triangle?
A hypotenuse.
Do A triangle with sides of lengths 32 60 and 68 is a right triangle?
Yes, the triangle is right-angled because 322 + 602 = 682. Given all three side lengths, you can use the Pythagorean relationship to determine whether a triangle is or is not right-angled. The right angle would be opposite the hypotenuse, 68.
How do you determine what side of the triangle is the hypotenuse?
Given a right triangle, the hypotenuse is the longest side or simply the side opposite the 90o angle.
How do you know if a triangle is right angled if the hypotenuse measurement is not given?
You should be able to see the right angle - 90 degrees
What name is given to the line opposite the right angle in any right angle triangle?
The Hypotenuse.
How do you find the hypotenuse of a right triangle when only a side length and angle is given?
Dependent on what side you are given you would use Sin(Θ) = Opposite/Hypotenuse just rearrange the formula to Hypotenuse = Opposite/Sin(Θ). Or if you are given the adjacent side use Cosine(Θ)=Adjacent/Hypotenuse, then: Hypotenuse = Adjacent/Cosine(Θ)
How do you find an angle of a right triangle when 3 sides are given?
you need a calculator to do Sin-1 Opposite/hypotenuse OR Cos-1 Adjacent/Hypotenuse OR Tan-1 Opposite/Adjacent
What is the ratio between the opposite and hypotenuse?
The ratio between the opposite side and the hypotenuse in a right triangle is known as the sine of the angle opposite the opposite side. Mathematically, this can be expressed as ( \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} ). Therefore, for a given angle ( \theta ), this ratio is equal to the sine of that angle.
What are the sides of a triangle called?
Given the reference perspective of a specific angle the sides are are the adjacent sides and the opposite side If we have a right triangle the longest side (opposite the right angle) is the hypotenuse.
Why do you need sqrt 2 to divide the hypotenuse of a 45-45-90 triangle?
A 45-45-90 triangle is an isosceles right angled triangle. If its two short sides are of length x units then, by Pythagoras, the hypotenuse is given by: hypotenuse2 = x2 + x2 = 2x2 Taking square roots, hypotenuse = sqrt(2x2) = sqrt(2)*x
Given the legs a and b of a triangle are 3 and 4 then the hypotenuse is?
Given the legs a and b of a triangle are 3 and 4, the hypotenuse is: 5
When you use the distance formula you are calculating the length of a right triangle which goes between two given points?
Yes, the Euclidean distance is the length of the hypotenuse of the right angled triangle whose other two vertices are at the two given points.
