Question

plz explain this question.i will mark u as brilliant.plz it's urgent please.​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Area\:of\:shaded\:region=1074.1\:m^{2}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Sides \: of \: big \: triangle = 120 \: m,122 \: m \: and \: 22 \: m \\ \\ \tt: \implies Sides \: of \:small\: triangle = 24 \: m,26 \: m \: and \: 22 \: m \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Area \: of \: shaded \: region =?$

• According to given question :

$\bold{For \: big \: triangle} \\ \\ \tt \circ \: \: s = \frac{a + b + c}{2} = \frac{120 + 122 + 22}{2} = 132 \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Area \: of \: big \: triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ \tt: \implies Area \: of \: big \: triangle = \sqrt{132(132 - 120)(132 - 122)(132 - 22)} \\ \\ \tt: \implies Area \: of \: big \: triangle = \sqrt{132 \times 12 \times 10 \times 110} \\ \\ \tt: \implies Area \: of \: big \: triangle = \sqrt{1742400} \\ \\ \green{\tt: \implies Area \: of \: big \: triangle =1320 \: {m}^{2} } \\ \\ \bold{For \: small \: triangle} \\ \tt \circ \: \:s = \frac{a + b + c}{2} = \frac{ 24 + 26 + 22 }{2} = 36$

$\bold{Similarly : } \\ \tt: \implies Area \: of \: small \: triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ \tt: \implies Area \: of \: small\: triangle = \sqrt{36(36 - 24)(36 - 26)(36 - 22)} \\ \\ \tt: \implies Area \: of \: small \: triangle = \sqrt{36 \times 12 \times 10 \times 14} \\ \\ \tt: \implies Area \: of \: small \: triangle = \sqrt{60480} \\ \\ \green{\tt: \implies Area \: of \: small \: triangle =245.9 \: {m}^{2} } \\ \\ \bold{For \: shaded \: region : } \\ \tt: \implies Shaded \: Area =Area \: of \: big \: triangle - small \: triangle \\ \\ \tt: \implies Shaded \: Area = 1320 - 245.9 \\ \\ \green{\tt: \implies Shaded \: Area =1074.1 { \: m}^{2} }$

Answer 2

$\red{\underline{\underline{\bold{Answer}}}}$

$\purple{\therefore{Area\:of\:shaded\:region=1074.08\:m^{2}}}$

$\orange{\bold{Step-by-step\:explanation}}$

• Given :

》Sides of big triangle = 120 m , 122 m and 22 m

》Sides of small triangle = 24 m , 26 m and 22 m

• To find :

》Area of shaded region = ?

According to given question :

$\bold{For\:area \: of \: big\:triangle} \\ \implies \sqrt{s(s - a)(s - b)(s - c)} \\ \\ \implies \sqrt{132(132 - 120)(132 - 122)(132 - 22)} \\ \\ \implies \sqrt{132 \times 12 \times 10 \times 110} \\ \\ \implies \sqrt{1742400} \\ \\ \purple{ \implies Area \: of \: big \: triangle =1320 \: {m}^{2} }$

$\bold{Area\:of\:small\:triangle : } \\ \implies \sqrt{s(s - a)(s - b)(s - c)} \\ \\ \implies \sqrt{36(36 - 24)(36 - 26)(36 - 22)} \\ \\ \implies \sqrt{36 \times 12 \times 10 \times 14} \\ \\ \implies \sqrt{60480} \\ \\ \purple{ \implies Area \: of \: small \: triangle =245.92 \: {m}^{2} } \\ \\ \bold{For \: Area\:of\:shaded \: region : } \\ \implies Shaded \: region =Area \: of \: big \: triangle - Area\:of\:small \: triangle \\ \\ \implies Shaded \: region = 1320 - 245.92 \\ \\ \purple{ \implies Shaded \:region =1074.08 { \: m}^{2} }$