Answer:
24.4 sq. ft.
Step-by-step explanation:
Area of a right square pyramid is:
A = a^2 + 2(a)*square root of ((a^2/4) + b^2)
A = 4 + 4 (square root of ((4/4) + 25) = 4 + 4* square root of 26
A = 4 + 4*5.099
A = 4 + 20.396
A = 24.396 sq ft.
Let
be the height of the triangle.
Formular for area of Triangle
= ½ × base × height
thus,
Simplifying
Step-by-step explanation:
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The area of the triangle is 14.1 square meters
<h3>How to determine the triangle area?</h3>
The side lengths are given as:
5m, 6m and 9m
Calculate the semi-perimeter (s) using
s = (5 + 6 + 9)/2
Evaluate
s = 10
The area is then calculated as:
![Area = \sqrt{s(s -a)(s-b)(s-c)](https://tex.z-dn.net/?f=Area%20%3D%20%5Csqrt%7Bs%28s%20-a%29%28s-b%29%28s-c%29)
This gives
![Area = \sqrt{10 * (10 -5)(10-6)(10-9)](https://tex.z-dn.net/?f=Area%20%3D%20%5Csqrt%7B10%20%2A%20%2810%20-5%29%2810-6%29%2810-9%29)
Evaluate the products
![Area = \sqrt{200](https://tex.z-dn.net/?f=Area%20%3D%20%5Csqrt%7B200)
Evaluate the exponent
Area = 14.1
Hence, the area of the triangle is 14.1 square meters
Read more about areas at:
brainly.com/question/27683633
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