Question

please tell me the answer's friends please​

Answer 1

Answer:

x=20

Area=250

Step-by-step explanation:

x^2 +(x+5) ^2 = (25)^2

x^2 + x^2 + 25 + 10x =625

2x^2 + 10x = 625-25

x^2 + 5x -300 =0

x^2 + 20x -15x -300 =0

(x+20)(x-15)=0

x= 20/-15

x=20 {sides can't be negative )

Area =x(x+5)÷2=20 ×25 ÷2 =250

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Answer 2

Answer:

$by \: using \: pythagoras \: theorm \\ {hypotenuse }^{2} = {base}^{2} + {height}^{2} \\ given \: \\ \\ {25 }^{2} = {(x + 5)}^{2} + {x}^{2}$

${25}^{2} = {(x + 5)}^{2} + {x}^{2} \\ 625 = {x}^{2} + 25 + {x }^{2} \\ 625 = {2x}^{2} + 25 \\ {2x}^{2} = 25 - 625 \\ {2x}^{2} = 600 \\ {x}^{2} = \frac{600}{2 } \\ {x}^{2} = 300 \\ x = \sqrt{300 } \\ x = 17$

$x + 5 = 17 + 5 = 22$

$area = \frac{1}{2 } \times b \times h \\ \frac{1}{2 } \times 17 \times 22 \\ = 187$

Step-by-step explanation:

$\textbf{X=17 }$

$\textbf{Area=187}$

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