three sides of a triangle are a,3a,√3a.find the measurement of angle opposite to the largest side
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We know that,
In a right triangle, the sum of the squares of the any two sides is equal to the the square of the third side.
Observe that
a^2 +(3a)^2=(side)^2
=a^2+9a^2=(side)^2
=10a^2=(side)^2
=side^2=10a^2
Therefore, the triangle is a right triangle
The angle opposite to the the largest side is 90 degrees
In a right triangle, the sum of the squares of the any two sides is equal to the the square of the third side.
Observe that
a^2 +(3a)^2=(side)^2
=a^2+9a^2=(side)^2
=10a^2=(side)^2
=side^2=10a^2
Therefore, the triangle is a right triangle
The angle opposite to the the largest side is 90 degrees
LuHan03:
that's ok but u haven't use root 3 then calculate the ans and if the ans comes 60 degree then reply me....
you are correct
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