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The longest side of an obtuse triangle measures 20 cm. The two shorter sides measure x cm and 3x cm. Rounded to the nearest tenth, what is the greatest possible value of x? 6.3 6.4 7.0 7.1

Verified Answer :

meerkat18

Obtuse triangle Pythagorean Theorem

c² > a² + b²

20² > x² + 3x²
400 > 4x²
÷4      ÷4
 100 > x²
   10 > x
  
400 > 4(7.1)²
400 > 4(50.41)
400 > 201.64

The greatest possible value of x is 7.10

nellymendoza00

Answer:

7.1

Step-by-step explanation:

because pythagorean theorem

c² > a² + b²

20² > x² + 3x²

400 > 4x²

÷4      ÷4

100 > x²

  10 > x           400 > 4(7.1)²

                      400 > 4(50.41)

                      400 > 201.64

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