True false are these triangles congruent?
2 answers:
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Answer:
Step-by-step explanation:
These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.
The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:, so I have to divide the hypotenuse by
to get the legs. The hypotenuse is 15
, so that divided by
is 15
. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15
.
The second triangle is a 30 60 90 degree triangle, so the ratio is x:x:2x. The short leg is 7
, so 7
* 2 is the hypotenuse, which is 14
. The long leg is 7
*
, which is 21. So, x for the second triangle is 14
, and y for the second triangle is 21.
Title:
<h2>The standard parametric equation for the line isStep-by-step explanation:
The standard parametric equation for a line generally represented as ; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.
It is given that the line passes through the point (2, -2, 10).
Hence, here (a, b, c) ≡ (2, -2, 10).
Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).
Putting all the values in the equation of the line, the equation becomes
.