SOLUTION: A right angle triangle has a side b=8cm and the perimeter is 37cm, what is the length of sides c and a.

Algebra.Com
Question 1036021: A right angle triangle has a side b=8cm and the perimeter is 37cm, what is the length of sides c and a.
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
b=8
c+a=29
c^2=a^2+64
c=29-a
841-58a+a^2=a^2+64; a^2 cancel
-58a=-777
a=13.4
c=15.6
64+13.4^2 should equal 15.6^2
64+179.56=243.36; to rounding error, this is correct (use three places and it is within 1//1000.

RELATED QUESTIONS

What is the length of the hypotenuse of a right triangle with sides 8cm and 15cm? A.... (answered by Leaf W.)
A right triangle has sides a, b, and c. If the length of side c is 13 cm and the length... (answered by Alan3354)
the two longer sides of a right triangle are 8cm and 10cm, What is the length of the... (answered by ewatrrr)
a right triangle has legs with lengths of 25 cm and 37cm. Find the length of the... (answered by checkley77)
A triangle has sides a=2 and b=3 and angle C= 40 degrees. What is the length of side... (answered by jrfrunner)
a right triangle has sides of 6 cm, 8cm, and1 diameter what is the perimeter and... (answered by Alan3354)
A triangle has two sides of length 8cm and 12cm. The length of the 3rd side CANNOT be... (answered by Boreal)
The lengths of the sides of a triangle are 13cm, 37cm and 40cm. Find the length of the... (answered by solver91311,ikleyn)
A triangle has three sides that are label a, b, c. The hypotenuse (side c) is 9 inches... (answered by TimothyLamb)