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,
After substituting the given values, we get
Taking square root on both sides, we get
Therefore, the length of AB is 9 units.
The coordinates plane is illustrated below.
<h3>How to illustrate the information?</h3>
A coordinate plane simply means the graphing system for points and lines.
Based on the information given, the area of teb triangle will be:
= 1/2 × b × h
= 1/2 × 11 × 20
= 110
Other information are attached.
Learn more about coordinate plane on:
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Answer:
She has $10 left.
Step-by-step explanation:
There are 13 tags. Every tag is 5$.
13 tags times 5 dollars equals 65 dollars spent.
75 dollars minus 65 dollars spent = 10 dollars left.
Ruby has 10 dollars left.
9514 1404 393
Answer:
102
Step-by-step explanation:
The total of ratio units is ...
6 + 3 + 8 = 17
The difference between the Charlie's ratio units and Adrian's ratio units is ...
8 - 6 = 2
That is, the total number of ratio units is 17/2 = 8.5 times that difference.
The actual difference is 12 sweets, so the total number of sweets is ...
8.5 × 12 = 102 . . . . total sweets