the perimeter of a isosceles triangle is 30cm. which of the following cannot be the length of the base. a) 1. b) 5. c) 10 d) 15
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the perimeter of a isosceles triangle is 30cm. which of the following cannot be the length of the base. a) 1. b) 5. c) 10 d) 15
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Step-by-step explanation:
Let the congruent sides of an isosceles △ be x.
Let the base of the isosceles △ be y
According to the 1st condition,
x+x+y=30
2x+y=30
According to the 2nd condition
x=y+3
x−y=3
Solving equation (1) and (2)
2x+y=30
x−y=3
-------------------
3x=33
x=
3
33
x=11
By substituting x=11 in equation (1)
2x+y=30
2(11)+y=30
22+y=30
y=30−22
=8
∴ The length of the sides of a △ are 11cm,11cm and 8cm.