Question

Plzz answer ASAP NEED HELP

Answer 1

x = 10

Explanation:

The angle bisector divides the triangle into proportional parts, so ...

(2x+1)/12 = (x+4)/8

8(2x+1) = 12(x+4) . . . . cross multiply

16x +8 = 12x +48 . . . . eliminate parentheses

4x = 40 . . . . . . . . . . . . subtract 12x+8

x = 10 . . . . . . . . . . . . . divide by 4

_____

Comment on this answer

The answer x=10 satisfies the requirement for proportional line segments, but it makes segment BC be 35 units long. It cannot be longer than BA+AC = 20 in order for the segments to connect to form a triangle. The geometry shown in this problem statement is impossible.

Answer 2

3

Explanation:

I cannot remember the formula but you can also solve this kind of questions by the rule,two side lengths of a triangle added together must be bigger than the third side length and the difference between the two side lengths of a triangle must be smaller than the third side length,

in this case the third side (3x+5) must be smaller than 12+8 and bigger than 4

let's create an equation to find it

4<3x+5<20 leave x alone

1<3x<15

1/3 <x <5

X is either 1,2,3,or 4

if we try these numbers one by one according to triangle side lengths rule we will find the answer as 3

Hope this helps