Question

find the measures of the angles of a triangle whose angles have measures in the ratio 6:11:19. what kind of triangle is it? after you pick your answer press go. a b c d e 30, 55, 95; obtuse

Explanation:

Step1: Set up the equation for the sum of angles in a triangle

Let the angles be \(6x\), \(11x\), and \(19x\). Since the sum of angles in a triangle is \(180^{\circ}\), we have \(6x + 11x+19x=180\).

Step2: Solve for \(x\)

Combine like - terms: \(36x = 180\). Then \(x=\frac{180}{36}=5\).

Step3: Find the measures of the angles

For the first angle: \(6x = 6\times5 = 30^{\circ}\).
For the second angle: \(11x=11\times5 = 55^{\circ}\).
For the third angle: \(19x = 19\times5=95^{\circ}\).

Step4: Classify the triangle

Since one angle (\(95^{\circ}\)) is greater than \(90^{\circ}\), the triangle is obtuse.

Answer:

The measures of the angles are \(30^{\circ}\), \(55^{\circ}\), and \(95^{\circ}\), and the triangle is obtuse.