Practice Problem 6
Lynn Palmer
Find the perimeter of the figure below.
First, we need to find all the things we can assume from this picture. We can assume that the equiangular triangle is also equilateral. Mark those sides as equal.
Next we need to find the length of the missing leg of the right triangle to find the length of the other two sides of the equilateral triangle. To do this, we need to manipulate the Pythagorean theorem so that a^2 is on one side of the equation. To do this, we have to subtract b^2 from a^2-b^2. This would give us the equation a^2=c^2-b^2. Plug in the values of the hypotenuse and leg into this equation and solve.
a^2=5^2-3^2
a^2=25-9
a^2=16
a=4
Now that we know a is equal to four, we know that the two lengths of the equilateral triangle are both 4. The last step is to add up all the values of the perimeter.
4+4+5+3=
8+8=16
The perimeter of this figure is 16.
First, we need to find all the things we can assume from this picture. We can assume that the equiangular triangle is also equilateral. Mark those sides as equal.
Next we need to find the length of the missing leg of the right triangle to find the length of the other two sides of the equilateral triangle. To do this, we need to manipulate the Pythagorean theorem so that a^2 is on one side of the equation. To do this, we have to subtract b^2 from a^2-b^2. This would give us the equation a^2=c^2-b^2. Plug in the values of the hypotenuse and leg into this equation and solve.
a^2=5^2-3^2
a^2=25-9
a^2=16
a=4
Now that we know a is equal to four, we know that the two lengths of the equilateral triangle are both 4. The last step is to add up all the values of the perimeter.
4+4+5+3=
8+8=16
The perimeter of this figure is 16.