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yaroslaw [1]
2 years ago
8

What type of triangle has side lengths 12, 13, and 2√3?

Mathematics
1 answer:
Travka [436]2 years ago
4 0

Answer:

The triangle is an obtuse scalene triangle

Step-by-step explanation:

we know that

if c^{2}=a^{2}+b^{2} --------> is a right triangle

if c^{2}>a^{2}+b^{2} --------> is an obtuse triangle

if c^{2} --------> is an acute triangle

where

c is the greater side

we have

c=13\ units

a=12\ units

b=2\sqrt{3}\ units

so

c^{2}=13^{2}=169

a^{2}+b^{2}=12^{2}+(2\sqrt{3})^{2}=156

so

c^{2}>a^{2}+b^{2} -------> is an obtuse triangle

Remember that

The given triangle has three different length side

so

Is a scalene triangle

therefore

The triangle is an obtuse scalene triangle

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