Question

in the figure,
what is the value of m?
plz tell in explanation
if you know then only say ​

Answer 1

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$\bigstar\sf\underline\blue{To\: find \:the\: value\: of \:m\: we\: use\: Pythagoras \:theorem}$

$\sf{Here\:, H = 25}$

$\longrightarrow\sf{B = 2m - 5}$

$\longrightarrow\sf{P = 7}$

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$\longrightarrow\sf{{H}^{2} = {P}^{2} + {B}^{2} }$

$\longrightarrow\sf{{25}^{2} = {7}^{2} + {2m - 5}^{2} }$

$\longrightarrow\sf{625 = 49 + {4m}^{2} - 20m + 25 }$

$\longrightarrow\sf{625 = {4m ^{2} - 20m + 74}}$

$\longrightarrow\sf{625 -74 = {4}^{2} - 20 m}$

$\longrightarrow\sf{551 = 4m - 20m}$

$\longrightarrow\sf{{4}^{2} - 20m - 551}$

$\longrightarrow\sf{({4m}^{2} - 58m )+(38m - 551)}$

$\longrightarrow\sf{2m (2m - 29) + 19 (2m - 29}$

$\longrightarrow\sf{(2m + 19) (2m - 29)}$

$\longrightarrow\sf{2m = 29}$

$\longrightarrow\sf{m = \dfrac{29}{2}}$

$\longrightarrow\sf\red{m = 14 .5}$

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