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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.
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.
Who understood the relation ship between the 2 shorter sides and the hypotenuse in a right angled triangle before Pythagoras?
The Babylonians and Ancient Egyptians but it is tradionally given to Pythagoras that for a right angle triangle a2+b2 = c2 whereas a and b are the sides of the triangle with c being its hypotenuse or longest side
What is the hypotenuse with the lengths of 5 and 6?
according to the pythagoras theorem, In a right angled triangle,(hypotenuse)2 = (side)2 + (side)2here, 2 sides are given, that are 5cm and 6cm (or it can be in meter )so by pythagoras theorem we get,(hypotenuse)2 = (side)2 + (side)2(hypotenuse)2 = 52 + 62(hypotenuse)2 = 25 + 36(hypotenuse)2 = 61hypotenuse = √61
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.
What is Pythagorus famous for?
He gave the Pythagoras formula for right angled triangles. A |\ | \ | \ | \ | \ C|___\ B In the given triangle ABC, ABXAB= ACXAC + BCXBC
Where to use Pythagoras property?
We use Pythagoras property to find the length of the third side, when two sides of a right-angled triangle are given by the following formula: In a right triangle, Square of hypotenuse = sum of squares of other two sides.
Is 7 8 12 a right triangle?
7, 8 & 12 are the sides of the triangle.And, for a right angled triangle the Pythagoras theorem is always applicable!Pythagoras theorem states that for a right angled triangle:(Longest Side)2 = (Side-1)2 + (Side-2)2(Longest side is called as the hypotenuse).So, using data in the question:If its a right angled triangle--->122 = 72 + 82i.e. 144 = 49 + 64 => 144 = 113, which is clearly not true!Hence, the triangle with the given sides is not a right triangle.
How do i work out the hypotenuse of a right angled triangle when i am only given the opposite which is 2cm?
You don't. In a right triangle, you can find out one of the sides if you are given the OTHER TWO sides; if you only know one side, you don't have enough information.
