Question

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Answer 1

Answer:

3

Step-by-step explanation:

(x+2)²= 5² + (x-3)²

x²+4x+4= 25+ x²-6x+9

10x=30

x=3

Answer 2

${\sf{\huge{\bold{\boxed{\mathcal{Answer:-}}}}}}$

$:\implies$ Using Pythagoras Theorem,

${h}^{2} = {p}^{2} + {b}^{2} \\ \\ = > {(x + 2)}^{2} = {(5)}^{2} + {(x - 3)}^{2} \\ \\ = > {x}^{2} + 4x + 4 = 25 + {x}^{2} - 6x + 9 \\ \\ = > 4x + 6x = 25 + 9 - 4 \\ \\ = > 10x = 30$

${\sf{\huge{\bold{\fcolorbox{red}{black}{ \; x \; = \; 3}}}}}$