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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.

User Tmbo
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Answer:
area of lateral faces = 60 cm²

Step-by-step 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 :)

User Daniel Kivatinos
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