To determine the type of triangle, we need to compare the angles of the triangle:
Angle PQR = (8x - 10) degrees
Angle PRQ = (6x) degrees
Angle QRP = (10x + 10) degrees
The sum of the angles in a triangle is 180 degrees:
(8x - 10) + (6x) + (10x + 10) = 180
24x + 0 = 180
24x = 180
x = 7.5
Now we can find the measures of each angle:
Angle PQR = (8 * 7.5 - 10) = 50 degrees
Angle PRQ = (6 * 7.5) = 45 degrees
Angle QRP = (10 * 7.5 + 10) = 85 degrees
Since all three angles have different measures, the triangle is scalene.
Is the triangle in the circle equilateral, isosceles, or scalene
A circle is shown with triangle PQR inside of it.
• The angle shown between PQ outside of the circle is left-parenthesis 8x minus 10 right- parenthesis degrees.
• The angle shown between PR outside of the circle is left-parenthesis 6x right-parenthesis degrees.
• The angle shown between QR outside of the circle is left-parenthesis 10x plus 10 right- parenthesis degrees.
(3 points)
1 answer