Draw and label the figure describe line JG intersecting to line ta
1 answer:
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Answer:
The value of AD=1 and DC=3
Step-by-step explanation:
Given: ΔABC, D∈ AC m∠ABC=m∠BDA, AB=2, AC=4
Diagram: Please find attachment.
To find: AD=? and DC=?
Calculation:
In ΔABC and ΔADB
∠ABC=∠ADB (Given)
∠A=∠A (Common)
Therefore, ΔABC ≈ ΔADB by AA similarity
If two triangles are similar then ratio their corresponding sides are equal
Therefore,
where, AD=?, AB=2, AC=4
AD=1
AD+DC=AC
1+DC=4
DC=4-1
DC=3
Hence, The value of AD=1 and DC=3
Let's define:
So, you can set up a system of equations:
Now, to solve for both of those values, solve the system of equations:
Now, plug that y-value into the first equation to solve for x:
Now, we have both the values. The smaller value (x) = 11.57 and the bigger value (y) = 16.43.
So, you can set up a system of equations:
Now, to solve for both of those values, solve the system of equations:
Now, plug that y-value into the first equation to solve for x:
Now, we have both the values. The smaller value (x) = 11.57 and the bigger value (y) = 16.43.