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In the given figure, if l||m, then what type of a triangle is ABC ? A. ScaleneB. IsoscelesC. Right angledD. Both (b) and (c ) |
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Answer» Correct Answer - D Given , `l||m`, `angleBCA=angleDEC=45^(@)` ( corresponding angles ) `angleCBA=angleEDB=45^(@)` ( corresponding angles ) `angleBCA+angleCBA+angleBAC=180^(@)` `implies 45^(@)+45^(@)+angleBAC=180^(@)` `implies angleBAC=90^(@)` `:.` In `DeltaABC, angleA=90^(@), angleB=angleC=45^(@)`. `implies DeltaABC` is a right - angled isosoceles triangle . Hence, the correct option is (d). |
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