In the diagram. Find h
-
A.
(frac{12}{7})cm -
B.
(frac{12}{7} sqrt{6})cm -
C.
(frac{7}{12})cm -
D.
(frac{1}{2})cm
Correct Answer: Option B
Explanation
A(bigtriangleup) = (sqrt{S(S – a) (S – b)(S – c)}) (Hero’s Formula)
S = (frac{a + b + c}{2}) = (frac{5 + 6 + 7}{2})
(frac{18}{2} = 9)
A(bigtriangleup) (sqrt{9} times 4 times 3 times 2)
(sqrt{216} = 6 sqrt{6}cm^3)
A(bigtriangleup) = (frac{1}{2} times 6 times h)
6(sqrt{6} = frac{1}{2} times 7 times h)
h = (frac{12}{h} sqrt{6})