C-05-Q132: The base of a triangle is $6$ cm more than twice its height. Area is $… | প্রশ্ন করি

C-05-Q132mediumsingle_mcq

The base of a triangle is $6$ cm more than twice its height. Area is $810$ sq. cm. The height is—

With height $h$ , the base is $2h+6$ , so $\frac12(2h+6)h=810$ reduces to . Factoring gives , and rejecting the negative root leaves cm.

132/170

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(

6)h=

810

h^2+3h-810=0

(h-27)(h+30)=0

h=27

C-05-Q141