The angles of a triangle are in the ratio 3:7:8 . Find the greatest and the smallest angles .
Answers
Answered by
1
Answer:
30,70,80
Step-by-step explanation:
3x + 7x + 8x = 180°
18x = 180
x = 10
So, the angles are
3×10 = 30°
7×10=70°
80×10=80°
VERIFICATION
30 + 70+80=180
Answered by
19
Given that angles of a triangle are in the ratio of 3:7:8.
- Let suppose that common factor of ratio is x
Therefore,
Angles of triangle will be 3x,7x and 8x.
We know that :
- (Sum of angles of triangle = 180°)*
Hence,
3x + 7x + 8x = 180°
→ 18x = 180°
→ x = 180/18
→ x = 10°
Therefore,
Angles of triangle will be :
- 3x = 3×10 = 30°
- 7x = 7×10 = 70°
- 8x = 8×10 = 80°
Now,
We have find greatest and smallest angle of triangle.
Hence,
- Smallest angle of traingle = 30°
- Greatest angle of triangle = 80°
Know more :
- * According to angle sum property of triangle, sum of interior angle of triangle is always equal to 180°
- Sum of length of two sides of any triangle is always greater than 3rd side
- According to exterior angle property of triangle,measure of exterior angle of triangle is equal to measure of two interior opposite angles of triangle.
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