To prove that two right triangles are similar, all you need to show is that one of them has one acute angle that's equal to one acute angle of the other one.
Until an "equals" sign shows up somewhere in the expression, there's nothing to prove.
1. The side angle side theorem, when used for right triangles is often called the leg leg theorem. it says if two legs of a right triangle are congruent to two legs of another right triangle, then the triangles are congruent. Now if you want to think of it as SAS, just remember both angles are right angles so you need only look at the legs.2. The next is the The Leg-Acute Angle Theorem which states if a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent. This is the same as angle side angle for a general triangle. Just use the right angle as one of the angles, the leg and then the acute angle.3. The Hypotenuse-Acute Angle Theorem is the third way to prove 2 right triangles are congruent. This one is equivalent to AAS or angle angle side. This theorem says if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, the two triangles are congruent. This is the same as AAS again since you can use the right angle as the second angle in AAS.4. Last, but not least is Hypotenuse-Leg Postulate. Since it is NOT based on any other rules, this is a postulate and not a theorem. HL says if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
You cannot prove "a right angle triangle". You may or may not be able to prove statements about right angled triangles but that will depend on the particular statement.
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For any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.
To prove that two right triangles are similar, all you need to show is that one of them has one acute angle that's equal to one acute angle of the other one.
Acute is Less than 90 degrees Obtuse is more than 90 degrees Right is 90 degrees If all 3 angles are acute it's an acute triangle If 1 angle is 90 then it's Right triangle and if 1 angle is more than 90 it's obtuse triangle hoped this helped ~PinataParadise
Because in a right angle triangle the square of its hypotenuse is always equal to the sum of each side squared.
Until an "equals" sign shows up somewhere in the expression, there's nothing to prove.
1. The side angle side theorem, when used for right triangles is often called the leg leg theorem. it says if two legs of a right triangle are congruent to two legs of another right triangle, then the triangles are congruent. Now if you want to think of it as SAS, just remember both angles are right angles so you need only look at the legs.2. The next is the The Leg-Acute Angle Theorem which states if a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent. This is the same as angle side angle for a general triangle. Just use the right angle as one of the angles, the leg and then the acute angle.3. The Hypotenuse-Acute Angle Theorem is the third way to prove 2 right triangles are congruent. This one is equivalent to AAS or angle angle side. This theorem says if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, the two triangles are congruent. This is the same as AAS again since you can use the right angle as the second angle in AAS.4. Last, but not least is Hypotenuse-Leg Postulate. Since it is NOT based on any other rules, this is a postulate and not a theorem. HL says if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
For example you can cut out a 3 inch base, 4 inch height and a 5 inch hypotenuse of a right angle triangle to prove Pythagoras' theorem that the hypotenuse squared is equal to the sum of its squared sides:- 32+42 = 52
It must have at least 2. We can prove this by contradiction. If there is one or less acute angle, there must be two or more angles of 90 degrees or more. This adds to over 180 degrees. Since triangles can only have a total of 180 degrees, this violates the definition of a triantle, so there must be at least two acute angles.
You cannot prove "a right angle triangle". You may or may not be able to prove statements about right angled triangles but that will depend on the particular statement.
The 5 ways to prove that two triangles are congruent are to find equal: 1) side-side-side 2) side-angle-side 3) angle-side-angle 4) angle-angle-angle 5) hypotenuse-leg
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