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Reduced ratio<span> of any </span>two<span> corresponding sides is called the scale factor of the similar </span>triangles<span>. </span>
Answer:
i think the answer would be 7 8/9
Step-by-step explanation:
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.
3 x 5= 15 oranges
2 x 10=10 green
You picked 15 oranges