Problema Solution
The smallest angle in a triangle is half the largest angle.the middle angle measures 30 degrees less than the largest angle.find the measure of each angle
Answer provided by our tutors
let x, y, and z be the angles of the triangle such that x < y < z
x + y + z = 180
the smallest angle in a triangle is half the largest angle:
x = (1/2)z
the middle angle measures 30 degrees less than the largest angle:
y = z - 30
by solving the system of equations
x + y + z = 180
x = (1/2)z
y = z - 30
we find
x = 42 degrees
y = 54 degrees
z = 84 degrees
click here to see the step by step solution of the system of equations:
the measure of the angles in the triangle are 42 degrees, 54 degrees and 84 degrees.