side across from 30: 1/2 the hypontenuse
side across from 60: the length of the side across from 30, times the square root of 3
side across from 90: the hypotenuse
true
False because it does not comply with Pythagoras' theorem.
For a triangle to exist, the sum of the shorter two sides must be longer than the third side.
It is true and the longest side of a right angle triangle is its hypotenuse.
YES. 18 and 24 are the two leg lengths and 30 is the hypotenuse then by Pythagoras' Theorem :- 182 + 242 = 302 324 + 576 = 900......which is true and therefore the three side lengths 18, 24 and 30 do form the sides of a right-angled triangle.
True
true
TRUE
False.
True because it complies with Pythagoras' theorem.
Does 742 = 242 + 702? If so, it is a right-angled triangle; if not, it isn't...
False because it does not comply with Pythagoras' theorem.
false
A scalene triangle is one that has three lengths of different sizes. It is quite possible for a right triangle to have three sides of different length.
There's an infinite list of 3-number sets that can be the lengths of the sides of aright triangle. The only fact that's true of all of them is:(square of the length of the longest side) = (sum of the squares of the lengths of the other two sides.)
false In order for this to be a right triangle, the sum of the squares of the two shorter sides would have to equal the square of the longest side. 102=100 242= 576 272=729 102+242= 676, which does not equal 272=729, so a triangle with these lengths is not a right triangle.
For a triangle to exist, the sum of the shorter two sides must be longer than the third side.