Two similar triangles are shown below:
1 answer:
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According to the given question we have the following equations:
a. x2+3x-3=0
b. 3x2-7x=12
a. X2+3x-3=0
The first step to calculate this equation is:
Move the -3 to the other side:
So, the equation would be:
X2+3x=3
x2+3x=5x
Therefore:
5x=3
x=3/5
a. The value of x would be 3/5
b. 3x2-7x=12
First step:
Multyply 3x to 2, so:
3x*2=6x
Next we can proceed to calculate the value of x:
6x-7x=12
-x=12
x=-12
b. The value of x would be -12
<u>Given</u>:
Given that the two sides of the triangle are x, 4.0 and 5.6
We need to determine the range of possible sizes for the side x.
<u>Range of x:</u>
The range of x can be determined using the triangle inequality theorem.
The triangle inequality theorem states that, "if any side of a triangle must be shorter than the other two sides added together".
Thus, applying the theorem, we have;
Also, the the triangle inequality theorem states that, "the third side must be also larger than the difference between the other two sides".
Thus, we have;
Thus, the range of possible values for x are
Answer:
Step-by-step explanation:
To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,
Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,
Substitute,
Simplify,
Inverse operations,