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What is the special case of the HL theorem?
The special case of the HL (Hypotenuse-Leg) theorem states that in a right triangle, if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent. This theorem is useful for proving the congruence of right triangles without needing to know the measures of the angles. It simplifies the process of triangle congruence by focusing on the right triangle's defining features.
What is a triangle with no congruent sides?
a triangle without any congruent sides is a scalenetriangle
Which postulate or theorem can be used to prove that triangle PRS is congruent to triangle QRS?
We cannot determine without seeing the data for PRS & QRS. My guess though would be ASA Though it could also be SSS
How do you find the length of a hypotenuse without using the pythagorean theorem?
If you know one side (s) and the opposite angle (a) then the hypotenuse = s/sin a...
How do you prove the hypotenuse leg theorem without using Pythagorean theorem?
I have to prove http://s5.tinypic.com/19ldma.jpg http://img22.imageshack.us/img22/9263/mathhlproofou4.jpg without using pythagorean theorem
How do you work out the lengths of the sides of a triangle from the hypotenuse?
Without any further information, you can't.
A right triangle has a hypotenuse of 10 cm and one leg that measures What is the length of the other leg?
Without knowing the measurement of one of its legs it's impossible to work out using Pythagoras' theorem. So from an experienced guess the two legs could be 8 cm and 6 cm with an hypotenuse of 10 cm.
What is the only type of triangle the Pythagorean Theorem can be used on without being given any other measurements besides the sides?
Simply because the Pythagorean Theorem is not true for any triangle that doesn't have a right angle in it. If a triangle has a right angle in it, then it satisfies the Theorem. If it hasn't, then it doesn't. And if it satisfies the Theorem, then it has a right angle in it, and if it doesn't, then it hasn't.
What else would need to be congruent to show that triangle ABC is congruent to triangle XYZ by Angle Side Angle?
Without seeing the picture, I can't tell what's already known to be congruent, so there's no way I can figure out what 'else' is needed.
What is a triangle with no equal sides called?
A question without any equal sides is a scalene triangle. A scalene triangle, by definition, is a triangle without any congruent sides. Of course, there are varying definitions, but they all have the same gist. Once again, a triangle without any equal sides is a scalene triangle!
What is the answer.In this picture the dotted line represents a ladder. How high on the house does the ladder reach?
It appears to be a question that involves Pythagoras' theorem of a right angle triangle whereas the dotted line represents the hypotenuse and without any relevant information the height of the ladder from the ground can't be worked out.
Is it possible to solve a right triangle without using Pythagorean theorem?
Yes simply with a protractor and a measuring device.
