The angles of a triangle are in the ratio 3 : 7 : 10 then find the greatest angle *
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Answer:
The ratio of angles of triangles are 3:7:8
Let the measures of triangles are 3x,7x,8x.
⇒ 3x+7x+8x=180
o
[ Sum of angles of triangle is 180
o
]
⇒ 18x=180
o
⇒ x=
18
180
o
=10
o
⇒ 3x=3×10
o
=30
o
⇒ 7x=7×10
o
=70
o
⇒ 8x=8×10
o
=80
o
∴ Greatest and the smallest angles are 80
o
and 30
o
.
Answered by
1
let ne triangle x
3 x
7 x
10x
SUM of angles of triangle is 180°
SUM of triangle sides: 3x+7x+10x
20x = 180
x=180/20
x=9
3x = 3×9 = 27°
7x= 7×9 = 63
10x= 10×9 = 90
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