You are watching: All equilateral triangles are isosceles true or false
Click below to see ALL difficulties on TrianglesQuestion 77948: are the adhering to statements true or false, you re welcome help!1.A scalene triangle is never ever isosceles.2. One isosceles triangle can be equilateral3. A scalene triangle is never ever right4. All equilateral triangles room acute prize by mszlmb(115)
(Show Source): You have the right to put this solution on her website! 1. TRUEBecause a scalene triangle"s three sides room all different, no scalene triangle can also be isosceles, meaning that two of it"s sides are equal.2. TRUEAn isosceles triangle has actually two sides which room equal, or congruent--That"s what congruent means in this context, equal. An it is provided triangle has actually three sides which space equal. Just because an isosceles must have actually two congruent sides does not average it can"t have three. In fact, every equilateral triangle is additionally isosceles. Keep in mind that not every isosceles triangle is equilateral, together they could have just two sides congruent. We involved the conclusion the an isosceles triangle have the right to be equilateral.3. FALSEScalene simply way that a triangle"s sides, and also therefore its angles (or evil versa) space not equal. The inquiry is, can we have three different angles (all triangles have actually three angles and three sides) one of which is 90o? Yes! take it for instance a 30o-60o-90o triangle, or a 50o-40o-90o triangle! In fact, the only triangle through a best (90o) angle which is no scalene is the 45o-45o-90o triangle, which has actually two same angles, and, therefore, two equal sides. Therefore a scalene triangle deserve to be right.4. TRUEThere is only one kind of equilateral triangle, the 60o-60o-60o triangle. Because every one of the sides have to be equal, so should the angles; and vice versa. In together a triangle, only the size varies.
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The angles space the same. Because for any equilateral triangle, the angles must all it is in 60o, every equilateral triangles room acute (they have actually no angle of a larger degree than 90).Questions/comments/corrections, feel totally free to email me☺