Question

Maristella is constructing an isosceles triangle to use as a model in her Algebra class. The perimeter of her triangle is 24 cm. Maristella uses the equation b = 24 – 2s to find b, the length of the triangle's third side, in terms of s, the length of each of its two congruent sides. What is her equation written in terms of s?

Answer 1

Isolating s, the equation written in terms of s is:

$s = 12 - 0.5b$

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• The equation for the length of the third side, as stated in the problem,("Maristella uses the equation b = 24 – 2s to find b, the length of the triangle's third side") is:

$b = 24 - 2s$

• To solve for the lengths of the congruent sides, we isolate s, thus:

$b = 24 - 2s$

$2s = 24 - b$

Inverse of multiplication is division, thus:

$s = \frac{24 - b}{2}$

Separating into two fractions:

$s = \frac{24}{2} - \frac{b}{2}$

Solving each fraction:

$s = 12 - 0.5b$

A similar problem is given at brainly.com/question/5123313