Triangles have how many degrees

Explanation : A right triangle cannot have an obtuse angle; this eliminates the choice of and Three choices can be eliminated by this criterion: The remaining choice is correct:. A right triangle has an angle that is 15 more than twice the other. What is the smaller angle? Explanation : The sum of the angles in a triangle is Possible Answers: degrees. Correct answer: degrees. Explanation : The interior angles of a triangle always add up to degrees.

Which of the following cannot be true of a right triangle? Possible Answers: None of the other statements can be true of a right triangle. Correct answer: None of the other statements can be true of a right triangle. Explanation : All of these statements are false. A right triangle can be equilateral.

One leg can be longer than the hypotenuse. False: Each leg is shorter than the hypotenuse. A right triangle can have an obtuse angle. Explanation : The formula to find all the angles of a triangle is: To solve for the measure of angle , we plug in the values of and. Explanation : The internal angles of a triangle always add up to degrees, and it was given that the triangle was right, meaning that one of the angles measures 90 degrees.

Therefore, each of the two equal angles has a measure of 45 degrees. What is the missing angle in this right triangle? Explanation : The angles of a triangle all add up to. Explanation : The angles of a triangle add together to degrees. We can now subtract to get x:. Copyright Notice. View Tutors. Shalon Certified Tutor. Try making a few drawings starting with different triangles of your choosing to see this for yourself.

Our lovely and elegant little drawing proves that this must be so. Or does it? Do all triangles equal degrees? Can triangles have more? Might there be some limitation to our drawing that is blinding us to some other more exotic possibility?

Procure an uninflated balloon, lay it on a flat surface, and draw as close to as perfect of a triangle on it as you can.

Now blow up the balloon and take a look at your triangle. What happened to it? If you have that protractor, try once again to sum up its interior angles. What happened to this sum?

Do you still get 0? What does this all mean when it comes to the question of whether or not the interior angles of a triangle always add up to 0 as we seem to have found? Thankfully, I have the answer. Head on over to next week's article where we started exploring the strange and wonderful world known as non-Euclidean geometry. He provides clear explanations of math terms and principles, and his simple tricks for solving basic algebra problems will have even the most math-phobic person looking forward to working out whatever math problem comes their way.

Reject All Cookies. The right triangle :. The equilateral triangle :. In the equilateral triangle, all the sides are the same length congruent and all the angles are the same size congruent. What are the sides of an acute triangle? Any triangle in which the Euler line is parallel to one side is an acute triangle.

Acute triangles can be isosceles, equilateral, or scalene. The longest side of an acute triangle is opposite the largest angle. How do you find the degree of a triangle? If you know two sides and the angle between them, use the cosine rule and plug in the values for the sides b, c, and the angle A.

Next, solve for side a. Then use the angle value and the sine rule to solve for angle B. Finally, use your knowledge that the angles of all triangles add up to degrees to find angle C. Can a right triangle be acute? What is a scalene triangle?

Scalene Triangle. A scalene triangle is a triangle that has three unequal sides, such as those illustrated above.