Tips and tricks

How do you prove that a triangle Cannot have two right angles?

How do you prove that a triangle Cannot have two right angles?

A triangle has three sides, and the interior angles add up to 180 degrees. If a triangle has two right angles, the third angle must be 0 degrees, implying that the third side would overlap the other. As a result, a triangle with two right angles is not feasible. Thus, a triangle cannot have more than one right angle.

Can a triangle have 2 right angles explain?

No, a triangle can never have 2 right angles. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. So, if a triangle has two right angles, the third angle will have to be 0 degrees which means the third side will overlap with the other side.

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Could it be possible for a triangle not to have right angle?

Any triangle that is not a right triangle is an oblique triangle. Solving an oblique triangle means finding the measurements of all three angles and all three sides.

Why is it impossible for a triangle to have more than one right angle?

When an angle of a triangle is 90 degrees, the triangle cannot have an obtuse angle. The other two must each be less than 90 degrees (90 deg + 89 deg + 1 deg = 180 deg). It therefore follows that they must both be less than 90 degrees and so must both be acute.

Why a triangle Cannot have more than one obtuse angle?

Triangle cannot have more than one obtuse angle because there are 3 side and if you add three sides it equals to 180 degree and obtuse angle is greater than 90 degree and the other two has to be less than 90 degree.

Can a triangle have all angles equal to 60 degree?

No, a triangle cannot have all angles less than 60°, because if all angles will be less than 60°, then their sum will not be equal to 180°.

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Can you have a triangle with all three angles less than 60?

A triangle with all the three angles less than 60∘ is not possible, as the sum of all the angles of a triangle is 180∘​.

Which of Cannot be measure of one of the angles in an obtuse angled triangle?

Answer: 90 and 91 both cannot be the one of the angles in an obtuse angled triangle.

Can a triangle have two right angles?

If the first two add to 180 degrees, then the 3rd remaining angle must be 0 degrees, which doesn’t make much sense. So this proves that a triangle cannot have two right angles. Side note: if a triangle does have a right angle, then it is known as a right triangle.

How do you use contradiction proofs?

Contradiction proofs are often used when there is some binary choice between possibilities: 1 2 \\sqrt {2} 2 ​ is either rational or irrational. 2 There are infinitely many primes or there are finitely many primes. 3 Either a line tangent to a circle is perpendicular to the radius of the circle containing the point of tangency, or it is not.

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How to draw a triangle with alternate interior angles?

1 Draw a line parallel to one of the sides of the triangle that passes through the corner opposite to that side: It is easiest to draw the triangle with 2 This creates two new angles. We’ll call them D and E: 3 We know by Alternate Interior Angles that angle D must be the same as angle A and angle E must be the same as angle C.

How do you prove the converse of a Pythagorean theorem?

Proof by Contradiction is often the most natural way to prove the converse of an already proved theorem. The Converse of the Pythagorean Theorem The Pythagorean Theorem tells us that in a right triangle, there is a simple relation between the two leg lengths (a and b) and the hypotenuse length, c, of a right triangle: a2+ b2= c2.