Question

Solve for x. Choose the best simplified radical answer where applicable. NO LINKS!!

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Answer 1

Answer:

  d.  x = 10  (the correct answer is marked)

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.

  x² +4² = (2√29)²

  x² +16 = 116 . . . compute the squares

  x² = 100 . . . . subtract 16

  x = 10 . . . . take the square root

Answer 2

Answer:

d) $\sf x=10$

Step-by-step explanation:

Pythagoras' Theorem:  $\sf a^2+b^2=c^2$

(where $\sf a$ and $\sf b$ are the legs, and $\sf c$ is the hypotenuse, of a right triangle)

Given:

• $\sf a=4$
• $\sf b=x$
• $\sf c=2\sqrt{29}$

Substituting these values into the equation and solving for $\sf x$:

$\sf \implies 4^2+x^2=(2\sqrt{29})^2$

$\sf \implies 16+x^2=116$

$\sf \implies x^2=116-16$

$\sf \implies x^2=100$

$\sf \implies x=\pm \sqrt{100}$

$\sf \implies x=\pm10$

Since distance is positive, $\sf x=10$ only

Therefore, the answer is d) $\sf x=10$.