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Consider the following vocabulary:

Equilateral right angled triangle
Isosceles acute triangle
Scalene obtuse triangle

Which of these triangles are possible?
Which of these triangles are not possible?
Explain your reasoning.

User Tslater
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1 Answer

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An equilateral right angled triangle is not possible because a triangle can only consist of 180°. Since a right angle is 90°, there is no way that a triangle can be have three right angles. 180° ≠ 270°

An isosceles acute triangle is possible because two angles can be acute and have the same degree values and the last angle can have a different value of another acute angle. The two angles that are acute would have the same value for their corresponding sides.

A scalene obtuse triangle is possible because one angle can be obtuse and the other ones can be acute. All the sides can be different.

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