If this is a right triangle, then 
where c is the hypotenuse which is ALWAYS THE LONGEST SIDE. Our longest side is 5, so we will set up Pythagorean's Theorem to see if the addition of the squares of a and b = the square of c: 
. Squaring all of that and adding on the left gives us 25=25. Because this is true, we have proven the converse of the Pythagorean Theorem here and this is a right triangle.
Right triangle with angles 12,8 and y Pythagorean theorem
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Answer:
Step-by-step explanation:
Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.
Notice that there are two similar triangles.
So, you can set up the following proportion:
Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".
Therefore, the value of "h" is :
