Given:
In a right angle triangle ABC, altitude BD drawn to hypotenuse AC.
AD=3 and, AC=27.
To find:
The length of AB.
Solution:
Draw a figure by using the given information as shown below.
In triangle ABC and ADB,
(Right angles)
(Common angle)
(AA similarity postulate)
We know that the corresponding parts of congruent triangles are proportional. So,
![\dfrac{AC}{AB}=\dfrac{AB}{AD}](https://tex.z-dn.net/?f=%5Cdfrac%7BAC%7D%7BAB%7D%3D%5Cdfrac%7BAB%7D%7BAD%7D)
After substituting the given values, we get
![\dfrac{27}{AB}=\dfrac{AB}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B27%7D%7BAB%7D%3D%5Cdfrac%7BAB%7D%7B3%7D)
![27\times 3=AB\times AB](https://tex.z-dn.net/?f=27%5Ctimes%203%3DAB%5Ctimes%20AB)
![81=AB^2](https://tex.z-dn.net/?f=81%3DAB%5E2)
Taking square root on both sides, we get
![\sqrt{81}=AB](https://tex.z-dn.net/?f=%5Csqrt%7B81%7D%3DAB)
![9=AB](https://tex.z-dn.net/?f=9%3DAB)
Therefore, the length of AB is 9 units.
Answer:
$93
Step-by-step explanation:
If he earns $7.75 a day, and he walks dogs for 12 days, you just have to multiply 7.75 by 12, which is 93. That means he gets $93.
Answer:
When there are 2 answers there will be a crown you can click and that will give brainlest
Step-by-step explanation:
=
a + b + c
2
=
8 + 10 + 5
2
= 11.5 inches
Area = √s(s-a)(s-b)(s-c)
= √11.5×(11.5 - 8)×(11.5 - 10)×(11.5 - 5)
= 19.810035335658 inches
The answer is B because when you Multiply 7 to the power of 2 its automatically greater than the actual answer and obviously the 9 to the power of 2 already is a lot greater than 11 times 11.
Answer:
Step-by-step explanation:
<em>See attached.</em>
The intersection of the lines is the solution.
<u>Approximate values of the coordinates is:</u>
- (2, 3.5) or (2, 3) if integer values are required