Question
Download Solution PDFThe lateral surface area of a right triangular prism is 288 cm2. If the lengths of the smaller bases are 6 cm and 8 cm respectively, find the height of the prism.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLength of the larger base = √(62 + 82) = 10 cm (Using Pythagoras theorem)
Let the length of the height of the prism be X cm.
Perimeter of the given prism = 6 cm + 8 cm + 10 cm = 24 cm
Area of the right triangular prism = Perimeter × Height
⇒ 24 × X = 288
⇒ X = 12 cm
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