If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangl
e in terms of x?
A) x units
B) x square root of 2 units
C) x square root of 3 units
D) 2x units
A) x units
B) x square root of 2 units
C) x square root of 3 units
D) 2x units
2 answers:
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Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :
We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by
Now, from equations (ii) and (iii), we have
Substituting the value of y and z from equations (iv) and (v) in equation (i), we get
From equations (iv) and (v), we get
Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.