You are watching: True or false a right triangle cannot be scalene
Click right here to watch ALL difficulties on TrianglesQuestion 77948: room the complying with statements true or false, you re welcome help!1.A scalene triangle is never isosceles.2. One isosceles triangle can be equilateral3. A scalene triangle is never right4. Every equilateral triangles room acute answer by mszlmb(115)
(Show Source): You have the right to put this systems on your website! 1. TRUEBecause a scalene triangle"s 3 sides room all different, no scalene triangle can additionally be isosceles, meaning that 2 of it"s sides space equal.2. TRUEAn isosceles triangle has actually two political parties which room equal, or congruent--That"s what congruent means in this context, equal. An it is provided triangle has actually three political parties which space equal. Just because an isosceles must have actually two congruent political parties does not mean it can"t have actually three. In fact, every equilateral triangle is also isosceles. Keep in mind that no every isosceles triangle is equilateral, as they might have only two sides congruent. We come to the conclusion the an isosceles triangle can be equilateral.3. FALSEScalene simply method that a triangle"s sides, and also therefore its angles (or vice versa) are not equal. The question is, have the right to we have actually three various angles (all triangles have three angles and three sides) one of which is 90o? Yes! take it for example a 30o-60o-90o triangle, or a 50o-40o-90o triangle! In fact, the just triangle with a right (90o) angle which is no scalene is the 45o-45o-90o triangle, which has two equal angles, and, therefore, two equal sides. Thus a scalene triangle can be right.4. TRUEThere is only one form of it is provided triangle, the 60o-60o-60o triangle. Because all of the sides have to be equal, so have to the angles; and vice versa. In such a triangle, just the dimension varies.
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The angles room the same. Because for any equilateral triangle, the angles have to all be 60o, every equilateral triangles room acute (they have no angle of a larger degree than 90).Questions/comments/corrections, feel cost-free to email me☺