Show that every equiangular triangle is equilateral-

Question

Toppr Admin · Accepted Answer

-x25B3-ABC is an equiangular-x2220-A-x2220-B-x2220-CIn -x25B3-ABC-x2220-B-x2220-CAC-AB - sides of opposite to equal angles -Similarly- -x2220-C-x2220-ABC-ABFrom -i- and -ii-Ab-BC-AC-x25B3-ABC is an equilateral triangle

Show that every equiangular triangle is equilateral.

$△ A B C$ is an equiangular
$∠ A = ∠ B = ∠ C$
In $△ A B C$
$∠ B = ∠ C$
$A C = A B$ ( sides of opposite to equal angles )
Similarly, $∠ C = ∠ A$
$B C = A B$
From (i) and (ii)
$A b = B C = A C$
$△ A B C$ is an equilateral triangle

Show that every equiangular triangle is equilateral.

△ABC is an equiangular∠A=∠B=∠CIn △ABC∠B=∠CAC=AB ( sides of opposite to equal angles )Similarly, ∠C=∠ABC=ABFrom (i) and (ii)Ab=BC=AC△ABC is an equilateral triangle

$△ A B C$ is an equiangular
$∠ A = ∠ B = ∠ C$
In $△ A B C$
$∠ B = ∠ C$
$A C = A B$ ( sides of opposite to equal angles )
Similarly, $∠ C = ∠ A$
$B C = A B$
From (i) and (ii)
$A b = B C = A C$
$△ A B C$ is an equilateral triangle