Question 1180870: Triangle ABC is an isosceles right triangle with
1. If a=5 cm, find c.
2. If b=8 cm, find c.
3. If b=12.5 cm, find c.
Triangle GMA is a 30°-60°-90° triangle.
4. If m=26 cm, find a and g.
5. If a=30 cm, find m and g.
Answer by MathLover1(20850)   (Show Source):
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Triangle ABC is an isosceles right triangle with
1. If  , find  .
since triangle ABC is an isosceles right triangle,  , and
2.
If  , find .
=>
3.
If  , find .
Triangle GMA is a 30°-60°-90° triangle.
if GMA is a 30°-60°-90° triangle, then
The shorter leg, which is opposite to the 30- degree angle, is labeled as .
The hypotenuse, which is opposite to the 90-degree angle, is twice the shorter leg length ( ).
The longer leg, which is opposite to the 60-degree angle, is equal to the shorter leg’s product and the square root of three ( ).
in your case  , shorter leg  , and longer leg 
4.
If  , find  and  .
if hypotenuse => =>
then shorter leg 
and longer leg 
so, check
5.
If  , find  and .
if then  => and 
=> => =>
=> => =>
check:
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