SOLUTION: Triangle ABC is an isosceles right triangle with <C as the right angle. 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°

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): You can put this solution on YOUR website!

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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