32. Shallah Middle School is planning a school trip. The cost is $5 per person. The organizers know that three adults are going
1 answer:
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The correct option is b, 10.
Given to us,
Sides of the triangle x, (x+4) and, 20.
According to the Triangle Inequality Theorem, the sum of any 2 sides of a triangle must be greater than the third side.
Thus,
Now, let us assume it as a right-angle triangle with the longest side as 20.
Thus,
using the expression, (a+b)² = a² + b² + 2ab;
Diving both sides by 2,
subtracting 200 on both sides,
Solving further, using ;
x = 12, -16
As negative value can be neglected.
for an Acute angle triangle,
X should be 12 >x >8. Therefore the only feasible option is 10.
Hence, the correct option is b, 10.
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