The lengths of the sides of a triangle are in the extended ratio 3:6:8. The perimeter of the triangle is 510 cm. What is the measure of each side of the triangle?
Answers
Answered by
1
Answer:
The ration of lengths are:
6
:
7
:
9
Let the sides be denoted as:
6
x
,
7
x
and
9
x
The perimeter
=
88
c
m
6
x
+
7
x
+
9
x
=
88
22
x
=
88
x
=
88
22
x
=
4
The sides can be found as follows:
6
x
=
6
×
4
=
24
c
m
7
x
=
7
×
4
=
28
c
m
9
x
=
9
×
4
=
36
c
m
Answered by
0
Answer:
The measure of 3 sides are given below :
Step-by-step explanation:
side ratio of triangle = 3:6:8
perimeter of triangle = 510
Measure of sides =3+6+8
=17
3/17 × 510 = 90 cm
6/17 × 510 = 180 cm
8/17 × 510 = 240 cm
Thus measure of all sides of a triangle is 90,180,240
proof is 240+180+90 = 510...
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