SOLUTION: The perimeter of an isosceles triangle is 30 cm. Which of the following cannot be the
length of the base?
A. 1 cm B. 5 cm C. 9 cm D. 15 cm
Algebra.Com
Question 136841: The perimeter of an isosceles triangle is 30 cm. Which of the following cannot be the
length of the base?
A. 1 cm B. 5 cm C. 9 cm D. 15 cm
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The perimeter of an isosceles triangle is 30 cm. Which of the following cannot be the
length of the base?
A. 1 cm B. 5 cm C. 9 cm D. 15 cm
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Let "x" be the length of the two equal sides:
EQUATION:
x+x+ b = 30
2x + b = 30
2x = 30-b
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Try the various possible values of the base:
Can b=1cm ?: 2x = 29; x = 14.5 cm
----------------
Can b=5cm ?: 2x = 25; x 12.5
----------------
Can b=9cm ? ; 2x = 21; x=10.5
----------------
Can b=15cm ? ; 2x = 15; x = 7.5
-----------------
Draw an isosceles with base = 15 and each equal side = 7.5.
Notice you do not have a triangle if you draw it correctly.
=====================================
Cheers,
Stan H.
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