The longest side of an obtuse triangle measures 20 cm. The two shorter sides measure x cm and 3x cm. Rounded to the nearest tent
h, what is the greatest possible value of x? 6.3 6.4 7.0 7.1
2 answers:
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
Obtuse triangle Pythagorean Theorem
c² > a² + b²
20² > x² + 3x²
400 > 4x²
<u>÷4 ÷4</u>
<u> 100 > x²</u>
10 > x
400 > 4(7.1)²
400 > 4(50.41)
400 > 201.64
The greatest possible value of x is 7.10
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