Whats the length of the short side?
1 answer:
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Answer:
<u><em>The </em></u><u><em>area of the right triangle</em></u><u><em> is </em></u><u><em>100 centimeters squared.</em></u>
Step-by-step explanation:
<u><em>The </em></u><u><em>formula for the area of a right triangle is:</em></u>
<u><em>Area = (a*b) / 2</em></u>
<u><em>The height of a triangle is represented by a. The base is represented by b.</em></u>
<u><em>Knowing this, we can use what they give us for the values, by </em></u><u><em>plugging them into the formula</em></u><u><em>.</em></u>
<u><em>a is 20 cenimeters</em></u>
<u><em>b is 10 centimeters</em></u>
<u><em>Therefore :</em></u>
<u><em>So, the </em></u><u><em>area of the right triangle</em></u><u><em> is</em></u><u><em> 100 centimeters squared.</em></u>
The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.
For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8