toab53
Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

A square pyramid has a base area of 25 ft2. The pyramid’s total surface area is 105 ft2.

What is the area of each triangular face?


Sagot :

luana
[tex]Area\ of\ pyramide=area\ of\ square+4\cdot\ area\ of\ triangulars\\\\A_p=a^2+4\cdot\frac{ah}{2}\\\\a^2=25\\a=5\\\\105=25+4\cdot\frac{5h}{2}\\105-25=2\cdot5h\\80=10h\ \ \ \ |:10\\h=8\\\\A_t=\frac{5\cdot8}{2}=\frac{40}{2}=20\ ft^2\\\\Each\ triangular\ has\ 20\ ft^2[/tex]