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NARA [144]
2 years ago
7

Find x. Leave answers in simplified radical form. (Step by step)

Mathematics
2 answers:
____ [38]2 years ago
8 0

Solution:

<u>Step-1: Find the missing angle.</u>

  • 90 + 45 + y = 180
  • => 135 + y = 180
  • => y = 180 - 135
  • => y = 45°

<u>Step-2: Review the following.</u>

  • This triangle is an isosceles right triangle because two angles are equivalent.
  • Two sides of the triangle must equal 4 cm.

<u>Step-3: Use Pythagoras theorem.</u>

  • x² = 4² + 4²
  • => x² = 16 + 16
  • => x = √32 ≈ 5.65 cm (Using calculator)
just olya [345]2 years ago
4 0

Answer:

\sf x  = 4\sqrt{2}

Given:

  • adjacent: 4 cm
  • hypotenuse: x cm
  • angle: 45°

<u>using cosine rule:</u>

\sf cos(x)  = \dfrac{adjacent}{hypotenuse}

\sf cos(45)  = \dfrac{4}{x}

\sf x  = \dfrac{4}{cos(45)}

\sf x  = 4\sqrt{2}

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