My grade is 100% and I do a test worth 30% of my grade. If I score a 25% on my test, what would be my current grade?
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We can use the ratios for special triangles (see the attachment below). We'll be using the 45-45-90 triangle. We notice that side BC is equal to 
, and side AC (x using the special right triangle) is equal to 16. We can therefore say that side BC is equal to 
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Given:
In an isosceles triangle LMN, LM=MN.
To find:
The measure of the angles L, M and N.
Solution:
In triangle LMN,
(Given)
(Base angles of an isosceles triangle are equal)
Now,
On further simplification, we get
The value of x is 13. Using this value, we get
Similarly,
And,
Therefore, the measure of angles are .