classify the triangle with angles measuring 37 degrees, fifty three degrees and 90 degrees
With a 90 degree angle, it must be a right triangle.
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Ah, we've got ourselves a triangle with a case of identity crisis! This triangle falls under the category of a "right triangle". You see, it has one angle measuring 90 degrees, which makes it a right angle. So, if you're ever in a right angle triangle party, be sure to invite this fellow!
To classify a triangle based on its angles, we use the concept of triangle classification by angles. Here are the steps to classify the triangle with angles measuring 37 degrees, fifty three degrees, and 90 degrees:
Step 1: Identify the largest angle among the three given angles. In this case, the largest angle is 90 degrees.
Step 2: Determine the classification based on the largest angle:
- If the largest angle is 90 degrees, the triangle is classified as a right triangle.
- If the largest angle is less than 90 degrees, the triangle is classified as an acute triangle.
- If the largest angle is greater than 90 degrees, the triangle is classified as an obtuse triangle.
In this case, since the largest angle is 90 degrees, the triangle is classified as a right triangle.
To classify a triangle based on its angles, we need to consider the sum of the three angles.
In your triangle, the angles measure 37 degrees, 53 degrees, and 90 degrees. To find the sum, you simply add the three angles together: 37 + 53 + 90 = 180 degrees.
Now, since the sum of the angles of any triangle is always 180 degrees, we can determine the type of triangle based on this sum.
In your case, since the sum of the angles is 180 degrees, this triangle is a valid triangle.
Now, let's further classify the triangle based on the measures of its angles:
- If all three angles are less than 90 degrees, it is an Acute triangle.
- If one angle is exactly 90 degrees, it is a Right triangle.
- If one angle is greater than 90 degrees, it is an Obtuse triangle.
In your triangle, one angle measures 90 degrees, so it is classified as a Right triangle.