SOLUTION: Find the misssing side length of each right triangle. Round to the nearest tenth and do ALL!!! A.) A=12,B=9,C=? B.) A=14,B=?,C=35 C.) A=?,B=4,C=41 Thanks so muc

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the misssing side length of each right triangle. Round to the nearest tenth and do ALL!!! A.) A=12,B=9,C=? B.) A=14,B=?,C=35 C.) A=?,B=4,C=41 Thanks so muc      Log On


   

Question 142900: Find the misssing side length of each right triangle. Round to the nearest tenth and do ALL!!!

A.) A=12,B=9,C=?
B.) A=14,B=?,C=35
C.) A=?,B=4,C=41



Thanks so much
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

use Pythagoras Theorem:
c%5E2+=+a%5E2+%2B+b%5E2
A.) a=12,b=9, find c
c%5E2+=+a%5E2+%2B+b%5E2
c=+sqrt%28a%5E2+%2B+b%5E2%29
c=+sqrt%2812%5E2+%2B+9%5E2%29
c=+sqrt%28144+%2B+81%29
c=+sqrt%28225%29
c=+15

B.) if a=14and c=35, find b
c%5E2+=+a%5E2+%2B+b%5E2
b%5E2+=+c%5E2+-+a%5E2
b+=+sqrt%2835%5E2+-+14%5E2%29
b+=+sqrt%281225+-+196%29
b+=+sqrt%281029%29
b+=+32.08

C.) find a if b=4and c=41
c%5E2+=+a%5E2+%2B+b%5E2
a%5E2+=+c%5E2+-+b%5E2
a+=+sqrt%2841%5E2+-+4%5E2%29
a+=+sqrt%281681+-+16%29
a+=+sqrt%281665%29
a+=+40.8