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In Mathematics / High School | 2014-11-11

If the measures of the angles of a triangle are represented by [tex]2x[/tex], [tex]3x - 15[/tex], and [tex]7x + 15[/tex], the triangle is:

1. acute
2. isosceles
3. equilateral
4. right

Asked by Tarunax3

Answer (2)

First you have to calculate value of x, as sum of all three angles of a triangle is 180°. that means [2x] + [3x - 15] + [7x + 15] = 180, 12x - 15 + 15 = 180, 12x = 180, x = 15, angles are, {[2 15], [(3 15) - 15], [(7*15) + 15]} = {30, 30, 120}, here two angles are equal, that means triangle is isosceles.

Answered by here2help | 2024-06-10

The triangle's angles are 30 degrees, 45 degrees, and 120 degrees. Since one angle is greater than 90 degrees, this triangle is classified as obtuse. Among the provided answer choices, none accurately reflect this classification, as they do not include obtuse.
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Answered by here2help | 2024-10-30