Question

the pyramid hotel is planning on repainting the exterior of the building. the building has four sides that are isosceles triangles with bases measuring 590 ft and legs measuring 375 ft.

use herons formula.

first, find the semi-perimeter:
\\(s = \frac{a+b+c}{2}\\)

\\(s = \frac{1}{2}(375+375+590)\\)

\\(s = \\)

\\(a = \sqrt{s(s-a)(s-b)(s-c)}\\)

\\(a = \sqrt{670(670-375)(670-375)(670-590)}\\)

\\(a = \\)

Explanation:

Calculate the semi-perimeter

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Calculate the area of one triangle

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Answer:

Question 1

First, find the semi-perimeter:
\(s = \frac{a+b+c}{2}\)
\(s = \frac{1}{2}(375+375+590)\)
\(s =\) <blank>670</blank>

Question 2

\(A = \sqrt{s(s-a)(s-b)(s-c)}\)
\(A = \sqrt{670(670-375)(670-375)(670-590)}\)
\(A \approx\) <blank>68294.58</blank>