Question

give me the answer plz​

Answer 1

Hope I am able to help! Option C

Answer 2

$\Large{\underbrace{\sf{\orange{Required\:Solution:}}}}$

Given thαt,

• The sides of α triαngle αre 1m, 2m and 2m.

☯️ We need to find the αreα of the triαngle.

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Heron's Formulae -

$\large{\boxed{\sf{\orange{\sqrt{s(s-a)(s-b)(s-c)}}}}}$

Where s = semiperimeter and a,b,c = sides.

• Find the semiperimeter.

$\longrightarrow{\sf{ \dfrac{a+b+c}{2}}}$

$\longrightarrow{\sf{ \dfrac{5}{2}}}$

• Substitute the values.

$\implies{\sf{\sqrt{ \dfrac{5}{2}(\dfrac{5}{2} - 1)(\dfrac{5}{2}-2)(\dfrac{5}{2}-2)}}}$

$\implies{\sf{\sqrt{ \dfrac{5}{2}(\dfrac{5-2}{2})(\dfrac{5-4}{2})(\dfrac{5-4}{2})}}}$

$\implies{\sf{\sqrt{ \dfrac{5}{2}(\dfrac{3}{2})(\dfrac{1}{2})(\dfrac{1}{2})}}}$

$\implies{\sf{\sqrt{\dfrac{15}{16}}}}$

$\large{\boxed{\sf{\orange{\dfrac{\sqrt{15}}{4}}}}}$

Hence,the αreα of the triαngle is (c) √15/4 m² .

And we are done! :D

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