Given: δавс, m∠acb = 90° cd ⊥ ab , m∠acd = 30° ac = 6 cm. find: bd i need this answer with full explanation statement reason would be best as my teacher wants staement reason pl asap

BD = 9 cm

Step-by-step explanation:

In a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. That is, the longest side (hypotenuse) is twice the length of the shortest side.

All of the triangles in your geometry are 30°-60°-90° triangles. AC is the hypotenuse of ΔACD, and the short side of ΔABC.

The short side AD of ΔACD will be half the length of AC, so 3 cm. The hypotenuse AB of ΔABC will be twice the length of AC, so 12 cm. Segment BD is the difference of the lengths AB and AD, so is ...

... BD = AB -AD

... BD = 12 cm - 3 cm = 9 cm

Comment on side length ratios

You can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. Or you can figure the length of the altitude of an equilateral triangle of side length 2 using the Pythagorean theorem.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.