2007-01-10 16:18:10 · 7 answers · asked by little_bishop19 1 in Science & Mathematics ➔ Mathematics
First, we know that the angles of any triangle add up to 180 degrees, right? So, x, 2x-20, and 3x-10 = 180.
Summing like terms, X+2X+3X = 6X and -20+-10 = -30.
It looks like this 6X-30 = 180.
Adding 30 to each side yields: 6X = 210
Dividing each side by six (to isolate X) yields X = 35, yes?
Thus what are the angles of the triangle?
X = 35 degrees
2X-20 = 70-20 or 50 degrees, and
3X-10 = 105-10 or 95 degrees. Sure enough, they sum to 180.
So, what do you call a triangle with three unequal angles and an angle greater than 90 degrees?
A scalene obtuse triangle. And that's the answer.
2007-01-10 16:32:13 · answer #1 · answered by Richard B 4 · 0⤊ 0⤋
obtuse.
add the three angles up and set it equal to 180
x + (2x-20) + (3x-10) = 180
6x - 30 = 180
6x = 210
x = 35
first angle = x = 35
second angle = 2x -20 = 2(35) - 20 = 50
third angle = 3x -10 = 3(35) -10 = 95
the largest angle is greater than 90 degrees, therefore the triangle is obtuse
2007-01-10 16:29:35 · answer #2 · answered by Daniel N 2 · 0⤊ 0⤋
x+(2x-20)+(3x-10)=180
6x-30=180
6x=210
x=35
2x-20=2(35)-20=50
3x-10=3(35)-10=95
It's scalene since no three angles are equal none of the sides will be congruent. It's also obtuse because one angle is greater than 90.
2007-01-10 16:26:18 · answer #3 · answered by Professor Maddie 4 · 0⤊ 0⤋
x + 2x - 20 + 3x - 10 = 180
6x - 30 = 180
6x = 210
x = 35
The numbers are 35, 50, and 95
This is a Scalene Triangle.
2007-01-10 16:26:34 · answer #4 · answered by Sherman81 6 · 0⤊ 0⤋
x+2x-20+3x-10=180
6x-30=180
6x=210
x=35
2x-20=70-20=50
3x-10=3*35-10=105-10=95
since 1 angle is >90, it is obtuse.
2007-01-10 17:06:38 · answer #5 · answered by yupchagee 7 · 0⤊ 0⤋
x+2x-20+3x-10=180
5x-30=180
5x=210
x=42
the bigger the angle, the biger the opposite side is. so since none of the angles are congruent, its a SCALENE. if two angles were congruent, then it would be isosceles, and if all the angles were congruent, it would be equilateral
2007-01-10 16:36:43 · answer #6 · answered by Preston 2 · 0⤊ 0⤋
12x - 8 = 3x + sixty 4 12x - 3x = sixty 4 + 8 9x = seventy 2 x = 8 ........................... 100 - 4x = 20 + 6x -4x - 6x = 20 - 100 -10x = - 80 10x = 80 x = 8 ....................... 9) y = 2x - 6 open ....................... 10) real ...................... 11) pretend bored with this
2016-12-02 02:54:58 · answer #7 · answered by lesure 4 · 0⤊ 0⤋