the base of an isoceles triangle is 4/3 cm .the perimeter of the triangle is 4 2/15 cm . what is the length of either of the remaining equal sides
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Answered by
1
Step-by-step explanation:
Let each equal side of an isosceles triangle ABC be x cm.
Then, its perimeter =AB+BC+CA=(x+
3
4
+x) cm =(2x+
3
4
) cm
But it is given that the perimeter of the triangle =4
15
2
cm =
15
62
cm
Therefore, 2x+
3
4
=
15
62
⇒30x+20=62 ...[On multiplying both sides by 15]
⇒30x=62−20
⇒30x=42
⇒x=
30
42
=
5
7
=1
5
2
Thus, each equal side of the isosceles traingle is of 1
5
2
cm.
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