The sum of 3 times one number, x, and 6 times a second number, y, is 111. If the sum of the two numbers is 27, find the two numb
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Answer:
Step-by-step explanation:
Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:
The height of a triangle is 5 cm shorter than its base. This means that:
.
The area of the triangle is 25 cm²
By definition the area of a triangle is:
For this triangle we know that and
. We substitute these values in the equation and solve for B.
Now we use the quadratic formula to solve the equation.
For an equation of the form the quadratic formula is:
In this case note that:
Then:
The solutions are:
For this problem we take the positive solution.
Now we substitute the value of B in the equation to find the height h