Question

Find the value of x. *

50 PTS!

5
25
5√2
50

Answer 1

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.

Answer 2

Answer:

Answer: x is 5 units

Step-by-step explanation:

» From trigonometric ratios,

${ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}$

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

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

Or, from pythogras theorem

${ \tt{ {a}^{2} + {b}^{2} = {c}^{2} }}$

• a is x, and b is x
• c is √50

${ \tt{ {x}^{2} + {x}^{2} = {( \sqrt{50}) }^{2} }} \\ { \tt{2 {x}^{2} = 50 }} \\ { \tt{ {x}^{2} = 25}} \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}$