Tony’s architecture firm is constructing a square pyramid play structure for a school. the length of one side of the base will be 9 feet, and each face is a triangle with a height of 8 feet. the pyramid will be open at the bottom and not covered. what will be the amount of building material needed to cover the pyramid?
1. 144 square feet
2. 225 square feet
3. 288 square feet
4. 369 square feet

1.

Step-by-step explanation: Formula for triangle is 1/2 * b*h.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

think about it deeply and passionately about this property

i am sorry