In δabc, m∠acb = 90°, cd ⊥ ab and m∠acd = 45°. find ac, if cd = 6 sqrt 3

Step-by-step explanation:

Consider right triangle ABC with right angle ACB. If m∠ACD = 45°, then

m∠BCD=m∠ACB-m∠ACD=90°-45°=45°.

Since  CD ⊥ AB, then

m∠CDA=m∠CDB=90°.

Thus, triangles ACD and BCD are right triangles with right angles ADC and BDC. In these triangles:

m∠CAD=90°-m∠ACD=90°-45°=45°;

m∠CBD=90°-m∠BCD=90°-45°=45°.

Thus, triangles ACD and BCD are isosceles right triangles with

By the Pythagorean theorem,

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

lol we need to see what the question is asking about

step-by-step explanation: