Q12. Find the area of shaded
region in the given figure
1 point
*
B
52M
14cm
15cm
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Q12. Find the area of shaded
region in the given figure
1 point
*
B
52M
14cm
15cm
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84 cm²
Step-by-step explanation:
[tex]by \: pythagoras \: theorem \\ {5}^{2} + {12}^{2} = ({AB})^{2} \\ 25 + 144 = ({AB})^{2} \\ 169 = ({AB})^{2} \\AB \: = 13 \: cm \\ in \: triangle \: ABC \\ s = \frac{a + b + c}{2} \\ s = \frac{13 + 14 + 15}{2} = \frac{42}{2} = 21 \: cm \\ by \: herons \: formula \\ area \: = \sqrt{s (s - a)(s - b)(s - c)} \\ = \sqrt{21(21 - 13)(21 - 14)(21 - 15)} \\ = \sqrt{21 \times 8 \times 7 \times 6} = 21 \times 4 \\ = 84 \: c{m}^{2} [/tex]