0 votes
773 views
in Mathematics Form 2 by
A piece of wire 40cm is bent to form a right-angled triangle whose hypotenuse is 17cm long. Find the lengths of the other two sides of the triangle

1 Answer

0 votes
by

right angled triangle
a+b = 23.....(i)
a2 + b2 =289....(ii)              M1
Substitute (i) in (ii)
a2 + (23 − a)2 =289
a2 + 529 − 46a + a2 =289
2a2 − 46a + 240 =0
  a2 − 23a +120 =0              
  a2 − 8a − 15a + 120 = 0     -Attempt to solve correctly
  a(a − 8) −15(a−8) = 0a=15 or 8
              b=8  or 15          

Welcome to EasyElimu Questions and Answers, where you can ask questions and receive answers from other members of the community.

6.4k questions

9.6k answers

6 comments

590 users

...