7. Classify the triangle with angles with measures 48°, 62°, and 70° as acute, right, or obtuse. (1 point)
acute
right
obtuse
Acute
To classify a triangle as acute, right, or obtuse based on its angles, you need to compare the sum of its angles with 180 degrees. Here's how you can do it for the given triangle:
1. Calculate the sum of the angles: 48° + 62° + 70° = 180°.
2. Now, compare the sum with 180°:
- If the sum is less than 180°, the triangle is acute.
- If the sum is equal to 180°, the triangle is right.
- If the sum is greater than 180°, the triangle is obtuse.
In this case: 48° + 62° + 70° = 180°, so the triangle is an acute triangle.
To determine the classification of a triangle with angles measuring 48°, 62°, and 70°, we need to compare the sum of the angles to the possible ranges for acute, right, and obtuse triangles.
- An acute triangle has all three angles measuring less than 90°.
- A right triangle has one angle measuring exactly 90°.
- An obtuse triangle has one angle measuring more than 90°.
Let's calculate the sum of the angles:
48° + 62° + 70° = 180°
Since the sum of the angles is equal to 180°, the triangle is classified as an acute triangle, as all the angles are less than 90°.