Question

Classify ΔABC by its sides. Then determine whether it is a right angle triangle. A(2, 3), B(6, 3), C(2, 7)

Answer 1

∴Given Δ ABC is not a right-angle triangle

a= AB = √45 = 3√5

b = BC = 12

c = AC = √45 = 3√5

Explanation:

Given vertices are A(3,3) and B(6,9)

AB =

Given vertices are B(6,9) and C( 6,-3)

=

BC = 12

Given vertices are A(3,3) and C( 6,-3)

AC² = AB²+BC²

45 = 45+144

45 ≠ 189

∴Given Δ ABC is not a right angle triangle

Explanation: