A triangular prism has base edges 2 cm, 6 cm, and 7 cm long. Its lateral area is 330 cm2. What is the height of the prism? cm. The height of the prism is (Simplify your answer.)​

9514 1404 393

  22 cm

Step-by-step explanation:

The lateral area is the product of the perimeter and the height. The perimeter is the sum of side lengths.

  P = a+b+c = (2 +6 +7) cm = 15 cm

  LA = Ph

  330 cm^2 = (15 cm)h . . . fill in the known values

  h = (330 cm^2)/(15 cm) = 22 cm

The height of the prism is 22 cm.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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