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The measures of the angles of a triangle are in the ratio of 2:3:4. Classify the tirangle by its sides and angles.

2006-11-17 04:00:51 · 6 answers · asked by 2 days after my B day :) 2 in Science & Mathematics Mathematics

6 answers

Let the angles be 2x, 3x, 4x
Since the total is 180 degree we have 2x + 3x + 4x = 180 giving 9x = 180 or x = 20

so the three angles are 40, 60, 80 and all the sides are unequal and none of the angles is a right angle.

Such a triangle is given the name as Scalene Triangle - A triangle with no two sides of equal length

2006-11-17 04:24:44 · answer #1 · answered by usarora1 3 · 0 0

Ratio problems are solved by putting an x with each ratio number and finding an appropriate equation. Since the angle measures add up to 180, your equation is

2x + 3x + 4x = 180

9x = 180

x = 20

So the angles measure 40, 60, and 80. That's a scalene acute triangle (all sides different; all angles acute)

2006-11-17 04:05:56 · answer #2 · answered by hayharbr 7 · 0 0

the measures of the 3 angles are 40, 60 & 80, now u figure out the rest

2006-11-17 04:06:37 · answer #3 · answered by Anonymous · 0 0

by angles
acute triangles
right triangles
obtuse triangles
equiangular triangles

bysides
scalene triangle
isosceles triangles
equilateral triangles

2:3:4
total parts=9
each part=20*
angles are 40*,60*,80*
acute triangle

2006-11-17 04:05:17 · answer #4 · answered by raj 7 · 0 0

the answer is D that's equilateral acute because each and each and every of the perimeters are a similar legnth, and subsequently each and each and every of the angles are a similar. which means each and each and every perspective is one hundred eighty/3 tiers (60 tiers). If a triangle has angles less than ninety tiers, that's an acute triangle

2016-11-25 00:35:49 · answer #5 · answered by ? 4 · 0 0

The triangle will have angles 40Deg, 60Deg and 80Deg. Because all three angles are different, it is called an Isoceles Triangle.

2006-11-17 04:07:24 · answer #6 · answered by Anonymous · 0 1

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