Question

in triangle abc angle C is equal to 90 degree AC is equal to BC is equal to 6 cm find AB​

Answer 1

Step-by-step explanation:

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Answer 2

In right angle isosceles triangle ABC, AB = $2\sqrt{6}cm$ where AC = BC = 6 cm and ∠C = 90.

       Given, in triangle ABC

          AC = BC = 6 cm

          ∠C = 90

      ABC is right angle isosceles triangle.

                                             [since two sides are equal and one angle is 90°]

      By Pythagoras theorem, we have

           $AB^{2}=AC^{2}+BC^{2}$

           $AB^{2}=6^{2}+6^{2}$

           $AB^{2}=36+36$

            $AB^{2}=72$

            $AB=\sqrt{72}$

            $AB=6\sqrt{2}cm$