Given: ∆abc, m∠c = 90° m∠bac = 2m∠abc bc = 24, al −∠ bisector find: al will be brainliest answer if !

The bisector of a line segment divides the segment into bits.

The value of AL is 16

The given parameters are:

The angles in a triangle add up to 180 degrees.

So, we have:

This gives

Subtract 90 from both sides

Divide both sides by 3

Substitute  in

So, we have:

The ratio of the sides of a 30-60-90 triangle is:

Given that BC = 24, the ratio becomes

Split

Express as fraction

Multiply both sides by 24

Rationalize

Length AL is then calculated as:

This gives

Hence, the value of AL is 16

Read more about bisectors at:

link

16 un.

Step-by-step explanation:

In right triangle ABC:

The sum of the measures of all interior angles in triangle  is always 180°, then

In right triangle the leg that is opposite to tha angle 30° is half of the hypotenuse. This means that

By the Pythagorean theorem,

Let AL be the angle A bisector. By bisector property,

Use the Pythagorean theorem for the right triangle ACL:

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

sadsdda

step-by-step explanation: