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Question
In ΔABC, if AB = 16 cm, BC = 12 cm and AC = 20 cm, then ΔABC is ______.
Options
acute-angled
right-angled
obtuse-angled
not possible
MCQ
Fill in the Blanks
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Solution
In ΔABC, if AB = 16 cm, BC = 12 cm and AC = 20 cm, then ΔABC is right-angled.
Explanation:
AC is the longest side of ΔAВС.
AB2 + BC2 = 162 + 122
= 256 + 144
= 400
= 202
= AC2
∴ ∠B = 90° ...[By the converse of Pythagoras' theorem]
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