Find the area of the lateral faces of the right triangular prism with altitude of 5 cm and base edges of length 3 cm, 4 cm, and 5 cm.

area of lateral faces = 60 cm²

Explanation:
The lateral area of the triangular prism can be calculated as follows:
lateral area = s₁h₁ + s₂h₂ + s₃h₃

We have:
h₁ = h₂ = h₃ = height of prism = 5 cm

Therefore, the formula became:
lateral area = h (s₁ + s₂ + s₃)

We area given that:
s₁ = 3 cm
s₂ = 4 cm
s₃ = 5 cn

Substitute with these givens in the above equation to get the lateral area as follows:
lateral area = 5 (3+4+5)
lateral area = 5(12)
lateral area = 60 cm²

Hope this helps :)

Absolute value graph shifted point 5 up

Hello!

the answer is:

the answer is:

why?

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!