What a neat little problem ! I'll remember this one, and I'll use it.
The altitude to the hypotenuse is 12.0 millimeters long.
It is: c2-b2 = a2 whereas c is the hypotenuse, b is the base and a is the altitude
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
Only a right triangle has a hypotenuse, and yes,when there's a hypotenuse, it's the longest side.
First of all, you have to make sure that it's a RIGHT triangle. That means that one of the angles in the triangle is 90 degrees. If not, then it's not a right triangle, and it doesn't have a hypotenuse. If it IS a right triangle, then the longest side is the hypotenuse.
That depends entirely on the LENGTH of the hypotenuse !
The altitude of a right triangle if the base is 96 and the hypotenuse is 240 is: 229.87
It is: c2-b2 = a2 whereas c is the hypotenuse, b is the base and a is the altitude
By using Pythagoras' theorem: hypotenuse^2 minus base^2 = altitude^2
Always true. To see this draw the circle which passes through the three points of the triangle. Reproduce the reflection of the triangle on the hypotenuse (which passes through the centre). Then use the theorem of intersecting chords of a circle to give the result immediately. It's also simply proved by algebra.
Sqrt x2+y2
True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)
Here are a couple Find the altitude of a triangle with base 3 and hypotenuse 5. Find the altitude of an equilateral triangle with each side to 2
If you are given the hypotenuse and the base then use Pythagoras' theorem.
Only if the angles of the triangle are 90, 45, and 45.
28 millimetres, as stated in the question.
There is not enough information for an unambiguous answer. If the missing side is the hypotenuse, then the altitude is 4.910 units. If the missing sides is one of the legs of the triangle, the altitude is 4.907 units.
If it's a right angle triangle then the sides are: opposite, adjacent and hypotenuse which is the longest side