Find the missing values: [3 MARKS] BaseHeightArea of triangle

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Find the missing values: [3 MARKS]
$\begin{matrix} B a s e & H e i g h t & A r e a o f t r i a n g l e 15 c m & \dots & 87 c m^{2} \dots & 31.4 m m & 1256 m m^{2} 22 c m & \dots & 170.5 c m^{2} \end{matrix}$

Options:

Answer: Option A
:
Blanks : 1 Mark each
We know that the area of triangle=

\frac{1}{2} \times b a s e \times h e i g h t

In first row, base=15 cm and area =

87 c m^{2}

∴

87 = \frac{1}{2} \times 15 \times h e i g h t

\Rightarrow

h e i g h t = \frac{87 \times 2}{15} = 11.6 c m

In second row, height=31.4 mm and area =1256

m m^{2}

∴

1256 = \frac{1}{2} \times b a s e \times 31.4

\Rightarrow

b a s e = \frac{1256 \times 2}{31.4} = 80 m m

In third row, base=22 cm and area =170.5

c m^{2}

∴

170.5 = \frac{1}{2} \times 22 \times h e i g h t

\Rightarrow

h e i g h t = \frac{170.5 \times 2}{22} = 15.5 c m

Thus, the missing values are:

\begin{matrix} B a s e & H e i g h t & A r e a o f t r i a n g l e 15 c m & 11.6 c m & 87 c m^{2} 80 m m & 31.4 m m & 1256 m m^{2} 22 c m & 15.5 c m & 170.5 c m^{2} \end{matrix}

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