Question

The side lengths of a triangular traffic sign are approximately 27 cm, 32 cm, and 27 cm. Approximate the area of the sign. Round your answer to the nearest whole cm? ______ cm2
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Answer 1

Given lengths of the triangular traffic sign are 27 cm, 32 cm and 27 cm.

Considering the Heron's formula, area = √[s(s – a)(s – b)(s – c)]

Here,

a = 27 cm

b = 32 cm

c = 27 cm

s (semi-perimeter) = $\frac{a+b+c}{2}$

= $\frac{27+32+27}{2}$

= $\frac{86}{2}$

= 43

Substituting the values in the heron's formula, we get

A = √[43(43 – 27)(43 – 32)(43 – 27)]

A = √[43(16)(11)(16)]

A = √121088

A = 347.97 cm ²