the sum of the measures of the two smaller angles in a triangle is 32degrees less than the measure of the largest angle.
if the middle angle measuers 64degrees less than the largest, find the measures of the angles of the triangle
write a system of equations and solve?
2012-07-10 2:17 pm
回答 (2)
2012-07-10 2:24 pm
✔ 最佳答案
Let a = measure of smallest angle, b = the measure of the middle angle, and c = the measure of the largest angle.a + b = c - 32
b = c - 64
a + b + c = 180
a + b - c = -32
b - c = -64
a + b + c = 180
a = 32
2a + 2b = 148
a + b = 74
b = 42
32 + 42 + c = 180
74 + c = 180
c = 106
The angles are 32°, 42° and 106°.
2012-07-10 2:25 pm
Let x be the largest angle
let y be the sum of the other two angles
we have that;
x+y=180
x-y= 32
=> 2x = 212 degrees => x = 106 degrees
y= 106-32 =74 degrees
the middle angles is 64 => the smallest angle is 74-64 =10 degrees
let y be the sum of the other two angles
we have that;
x+y=180
x-y= 32
=> 2x = 212 degrees => x = 106 degrees
y= 106-32 =74 degrees
the middle angles is 64 => the smallest angle is 74-64 =10 degrees
收錄日期: 2021-04-20 22:57:19
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