Answer:
TQ = 10
Step-by-step explanation:
The diagonal divides the square into 2 right triangles with the diagonal being the hypotenuse.
Using Pythagoras' identity in triangle TPQ
TQ² = PQ² + PT²
TQ² = 10² + 10² = 100 + 100 = 200 ( take square root of both sides )
TQ = =
=
×
= 10
The equation of the line is, .
Given that,
The equation of the line is,
And contains the point (-2, -5).
We have to determine,
What is the equation of the line that is perpendicular to the given line?
According to the question,
The equation of the line is,
On comparing with the standard equation of the line y = mx +c.
The slope of the line is 1/3.
When two lines are perpendicular the relation between these slopes is,
And line contains the point (-2, -5).
Then,
Therefore,
The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,
Hence, The required equation of the line is, .
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