Answer:
x = 9 centimetres ✅
Step-by-step explanation:
Given that:
Volume (v) = 486 cm³
Opposite (o) = 9 cm
Adjacent (a) = 12 cm
Hypotenuse (h) = 15 cm
Find the value of x (height)!
Volume of the triangular prism =
V = oax/2
oax = 2V
therefore
x (height) = 2V/oa
x = (2·486)/(9·12)
x = 972 ÷ 108
x (height) = 9 cm ✅
The height of the prism = 9 centimetres
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