supremebeam11
Answered

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Find the value of x. *

50 PTS!

5
25
5√2
50

Find The Value Of X 50 PTS 5 25 52 50 class=

Sagot :

Answer:

  • Option A

Step-by-step explanation:

We can solve this with the help of Pythagoras theorem.

  • => (√50)² = x² + x²
  • => √50 x √50 = x² + x²
  • => 50 = 2x²
  • => 25 = x²
  • => x = 5

Hence, the value of x is 5 units.

brainsoft

Answer:

Answer: x is 5 units

Step-by-step explanation:

» From trigonometric ratios,

[tex]{ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ [/tex]

  • theta is 45°
  • opposite is x
  • hypotenuse is √50

[tex]{ \tt{ \sin(45 \degree) = \frac{x}{ \sqrt{50} } }} \\ \\ { \tt{x = \sqrt{50} \times \frac{1}{ \sqrt{2} } }} \\ \\ { \tt{x = \sqrt{ \frac{50}{2} } }} \\ \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}[/tex]

Or, from pythogras theorem

[tex]{ \tt{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]

  • a is x, and b is x
  • c is √50

[tex]{ \tt{ {x}^{2} + {x}^{2} = {( \sqrt{50}) }^{2} }} \\ { \tt{2 {x}^{2} = 50 }} \\ { \tt{ {x}^{2} = 25}} \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}[/tex]

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