Question

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Answer 1

Answer:

→ Hey Mate,

→ Given Question :-

. Use the pythagorean theorem to find the lenghts of the sides of the triangle

→ Answer :-

⇒  a² + b² = c²

⇒ ( x + 5 ) ² + x² = 25²

⇒ ( x + 5 ) ( x + 5 )

⇒ x² + 5x + 5x + 25 = 625

⇒ 2x² + 10x + 25     =625

⇒                - 425      -625

---------------------------------------     ( division sign )

⇒ 2x² + 10x - 600    = 0

---------------------------------------

→ a = 2x²

→ b = 10x

→ c = 600

→ x  = -10 ± $\sqrt{10^2 - 4 ( -2 ) ( -600 )}$             -10  ± $\sqrt{100 - 4( 2 ) ( -600)}$

      ---------------------------------------  =  ---------------------------------------------

→               2 ( 2 )                                                   4

→ x = -10 ± $\sqrt{100 + 4800}$

------------------------------------  ( Division sign )

→               4

→ x = -10 ±$\sqrt{4900}$

--------------------------  ( Division sign )

→               4

→  x = -10 ± 70

------------------------  ( Divided by )

→              4

→  -10 + 70

--------------------  ( Divided By )

→       4

→  x = - 10 - 70

----------------------------- (  Divided By )

               4

→ 60

---------- ( Divided By )

→   4

→ 15 ( this is correct )

→ - 80

------------

→   4

→ -20 ( this is wrong )

→ so , the final answer is 15.