Question

the perimeter of an isosceles triangke is 18 cm.if one of its equal sides is 23/4 cm long, fins the measure of third side​

Answer 1

Perimeter of any triangle = sum of length of its sides.

Thus,

Perimeter = a + b + c

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$\boxed{\red{\bold{\mathbb{ISOSCELES\:TRIANGLE}}}}$

The triangle in which any two sides are equal is called as an Isosceles triangle.

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Given that

Measure of an equal side = 23/4 cm

So,

OTHER equal side will also be 23/4 cm long.

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Sum of length of the equal sides of the isosceles triangle is as follows :-

$= \frac{23}{4} + \frac{23}{4} \\ \\ \\ = \frac{23 + 23}{4} \\ \\ \\ = \frac{46}{4} \\ \\ = 11.5cm$

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Perimeter of the triangle given is 18 cm

Thus,

$a + b + c = 18 \\ \\ \\11.5 + c = 18 \\ \\ \\c = 18 - 11.5 \\ \\ \\c = 6.5cm$

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Hence,

The length of the unequal side of the triangle give is 6.5 centimeters.

Answer 2

$\underline\mathfrak{Answer}$

Solution provided in the pic above.