karraryousra15 karraryousra15
  • 18-05-2019
  • Mathematics
contestada

Suppose the sides of a traingle have the given measures. Classify the triangle by its sides. 3a, 3a, 5a

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MathPhys
MathPhys MathPhys
  • 18-05-2019

Answer:

Obtuse isosceles

Step-by-step explanation:

Two sides are the same length, so we know this is an isosceles triangle.

To determine if it's acute, right, or obtuse, we can compare it to a right triangle using Pythagorean Theorem:

c² = a² + b²

c² = 3² + 3²

c² = 18

c = √18

So if this were a right triangle, c would be √18, which is somewhere between 4 and 5.

Since the long side is greater than √18, we know this must be an obtuse triangle.

So this is an obtuse isosceles.

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