Measures of three angles of a …
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Measures of three angles of a triangle are respectively (5x+10), (3x+15) and (x+20).Depending upon its angles, what type of triangle is it? Give explaination.
Posted by Archna Ghundiyal 7 years, 3 months ago
- 3 answers
Shweta Gulati 7 years, 3 months ago
We will use angle sum property of triangles. The sum of all the angles of a triangle should be 180 degrees.
(5x+10)+(3x+15)+(x+20) =180
9x+45=180
9x=135
x=15
So, 5x+10 = 75+10 =85 degrees
3x+15=45+15 = 60 degrees
x+20 = 15+20 =35 degrees
Since all the angles of this triangle measure less than 90 degrees, therefore it is an Acute-angled triangle.
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Rupender Singh 7 years, 3 months ago
By angle sum property of triangle, the sum of all angles is , So
(5x + 10) + (3x + 15) + (x + 20) =
5x + 10 + 3x + 15 + x + 20 =
9x + 45 =
9x = -
9x =
x =
Therefore, First angle = 5x + 10 =(5 × 15) + 10 = 75 + 10 =
Second angle = 3x + 15 = (3 × 15) + 15 = 45 + 15 =
Third angle = x + 20 = 15 + 20 =
Since, all the angles of the triangle measures less than , So it is an acute-angled triangle.
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