Question
Classify this triangle by its sides'and angles. obtuse and scalene right and equilateral obtuse and equilateral right and scalene
Answer
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(205 Votes)
Laurie
Professional · Tutor for 6 years
Answer
To classify the triangle by its sides and angles, we need to consider the information given:1. The triangle is a right-angled triangle, as mentioned in the picture details.2. We need to determine the nature of the sides to classify it further.Since the triangle is right-angled, we can immediately rule out it being equilateral because an equilateral triangle has all three angles equal to 60 degrees, which is not possible if one of the angles is 90 degrees (a right angle).Now, we need to consider the sides:- If the triangle had all sides of equal length, it would be equilateral, but we've already established that it cannot be equilateral due to the right angle.- If the triangle had two sides of equal length, it would be isosceles, but there is no information provided that suggests two sides are equal.- If the triangle has all sides of different lengths, it would be scalene.Since the only information we have is that the triangle is right-angled, and there is no information suggesting that any sides are equal, the most accurate classification based on the given information is:Right and scalene.Final Answer: The triangle is right and scalene.