Menu Close

Question-156548




Question Number 156548 by mnjuly1970 last updated on 12/Oct/21
Commented by amin96 last updated on 12/Oct/21
$$ \\ $$
Commented by amin96 last updated on 12/Oct/21
∠A+∠C=∠B+∠D=180°  ∠B=120°  AC^2 =4+9−12cos(120)=9+AD^2 −6ADcos(60)  19=9+AD^2 −3AD  AD^2 −3AD−10=0   AD=5
$$\angle{A}+\angle{C}=\angle{B}+\angle{D}=\mathrm{180}° \\ $$$$\angle{B}=\mathrm{120}° \\ $$$${AC}^{\mathrm{2}} =\mathrm{4}+\mathrm{9}−\mathrm{12}{cos}\left(\mathrm{120}\right)=\mathrm{9}+{AD}^{\mathrm{2}} −\mathrm{6}{ADcos}\left(\mathrm{60}\right) \\ $$$$\mathrm{19}=\mathrm{9}+{AD}^{\mathrm{2}} −\mathrm{3}{AD} \\ $$$${AD}^{\mathrm{2}} −\mathrm{3}{AD}−\mathrm{10}=\mathrm{0}\:\:\:{AD}=\mathrm{5} \\ $$
Answered by mr W last updated on 12/Oct/21
Commented by mr W last updated on 12/Oct/21
?=5
$$?=\mathrm{5} \\ $$
Commented by Tawa11 last updated on 12/Oct/21
Great sir.
$$\mathrm{Great}\:\mathrm{sir}. \\ $$
Commented by Tawa11 last updated on 13/Oct/21
Sir, help me solve inequality Q156652
$$\mathrm{Sir},\:\mathrm{help}\:\mathrm{me}\:\mathrm{solve}\:\mathrm{inequality}\:\mathrm{Q156652} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *