Question

find the answer for the question​

Answer 1

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Answer 2

$\large\underline{\underline{ \sf \maltese{\:Given:-}}}$

➺the difference between the bases if two buildings = 15cm

➺heights of the buildings are 10 and 18 cm respectively

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$\large\underline{\underline{ \sf \maltese{\:To \:Find::-}}}$

➺distance between the heights of the buildings

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$\large\underline{\underline{ \sf \maltese{\:Solution:-}}}$

➺now let the distance of their hieghts be x cm

so, to find the unknown distance we use:-

$\blue{ \boxed{ \purple{ \mathfrak{pythogoras \: therom}}}}$

which is:-$\blue{ {side}^{2} + {base}^{2} = {hieght}^{2} }$

let's start:

so,

⇒base=15cm

⇒side=8cm

⇒height = xcm

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$\sf: ⟹  {s}^{2} + {b}^{2} = {h}^{2} \: \: \: \\ \\ \sf : ⟹  {8}^{2} + {15}^{2} = {x}^{2} \\ \\ \sf : ⟹ 64 + 225 = {x}^{2} \\ \\ \sf : ⟹ 289 = {x}^{2} \: \: \: \: \: \: \: \: \: \\ \\ \sf : ⟹ x = \sqrt{289} \: \: \: \: \: \: \\ \\ \sf : ⟹ x = 17m \: \: \: \: \: \: \: \:$

$\blue {\underline{ \boxed{ \orange{ \sf{ \therefore \: the \: distance \: between \: the \: heights = 17m}}}}}$

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