The measures of two angles of a triangle are given. Tell whether the triangle is acute, right, or obtuse.
19°,35°
I think its obtuse
Correct.
Thank you
To determine whether a triangle is acute, right, or obtuse, we need to analyze the angles of the triangle.
In a triangle, the sum of the interior angles is always 180 degrees.
Let's calculate the third angle of the triangle using the given measures:
Third angle = (180 - 19 - 35) degrees
Third angle = 126 degrees
Now, we have the measures of all three angles: 19°, 35°, and 126°.
To classify the triangle, we examine the measures of the angles:
- An acute triangle has all angles less than 90 degrees.
- A right triangle has one angle equal to 90 degrees.
- An obtuse triangle has one angle greater than 90 degrees.
In this case, since none of the angles are equal to 90 degrees, and one angle measures 126 degrees, the triangle is classified as an obtuse triangle.