Answers

2014-10-30T20:50:28+05:30
This happens to be one of the basic right triangles that I remember, 5:12:13, but to calculate it perform the following steps.
Let a = one of the legs of the right triangle
Let b = the other leg
Then we have
(1) a + b = 30 - 13 or
(2) a + b = 17 or
(3) a = 17 - b
Now using pythagoreon theorem we have
(4)  or
(5)  
Now substitute a of (3) into (5) to get
(6)  or
(7)  or
(8)  or using x = b

(9)  
Use the quadratic equation to solve for x
(10)  
(11) b = 5,12
Let's check this with (1) and (4).
Is (5+12+13 = 30)?
Is (30 = 30)? Yes
Is ()?
Is (169 = 25 + 144)?
Is (169 = 169)? Yes
Answer: the other two sides (legs) are 5cm and 12cm. 

1 5 1
2014-10-30T20:51:14+05:30
Given perimeter of traingle = 30cm
hypotenuse = 13cm
let the other two sides are a,b
a²+b²=13²
a²+b²=169
12²+5²=169
or
5²+12²=169
there fore a and b are 12,5
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