subject
Mathematics, 01.05.2021 01:10 annikafischer

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 8$, $AY = 6$, and $CY = 4$, find $BC$. [asy]
pair A, B,C, X,Y, Z,I;

A= (0,0);
B = (1,0);
C = (0.8,0.7);
X = intersectionpoint(B--C , A -- (bisectorpoint(B, A,C)));
Y = intersectionpoint(A--C, B -- scale(6)*( (bisectorpoint(C, B,A)) - B));
I = intersectionpoint(A--X, B--Y);
Z = extension(A, B,C, I);
draw(A--B--C--cycle);
draw(B--Y);
draw(C--Z);
label("$A$",A, SW);
label("$B$",B, SE);
label("$C$",C, N);
label("$I$",I, SW);
label("$Y$",Y, NW);
label("$Z$",Z, S);
[/asy]

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 13:30
Apath 3 m wide runs around the inside of a square park inside 60 m.find the area of the path.pls
Answers: 2
question
Mathematics, 21.06.2019 16:30
Which statement about perfect cubes is true
Answers: 1
question
Mathematics, 21.06.2019 22:20
Which strategy is used by public health to reduce the incidence of food poisoning?
Answers: 2
question
Mathematics, 21.06.2019 22:30
Which of the following would be a reasonable estimate for the weight of a pencil? a. 1 × 10^-20 lb b. 1 × 10^20 lb c. 1 × 10^2 lb d. 1 × 10^-2 lb
Answers: 1
You know the right answer?
In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 8$, $...
Questions
question
Mathematics, 13.04.2020 21:23
question
Mathematics, 13.04.2020 21:23
question
Mathematics, 13.04.2020 21:23
question
Mathematics, 13.04.2020 21:23
Questions on the website: 13722360