In the diagram. Find h

Assessment: JAMB UTME - Mathematics - 1994 Subject: General Mathematics

Question 1 Report

\frac{12}{7}

cm

\frac{12}{7} \sqrt{6}

cm

\frac{7}{12}

cm

\frac{1}{2}

cm

Answer Details

A $△$ = $\sqrt{S (S - a) (S - b) (S - c)}$ (Hero's Formula)

S = $\frac{a + b + c}{2}$ = $\frac{5 + 6 + 7}{2}$

$\frac{18}{2} = 9$

A $△$ $\sqrt{9} \times 4 \times 3 \times 2$

$\sqrt{216} = 6 \sqrt{6} c m^{3}$

A $△$ = $\frac{1}{2} \times 6 \times h$

6 $\sqrt{6} = \frac{1}{2} \times 7 \times h$

h = $\frac{12}{h} \sqrt{6}$

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