Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

ABC is a right angle triangle with B = 90. M is the mid point of AC and BM =root of 117 cm. Sum of the lengths of sides AB and BC is 30 cm. Find the area

of the triangle ABC
Have a little patience i am typing all of this on my tab
Hey MADHAN Sri Chaitanya Techno School what's your answer?
hey this question is from this years ntse paper
This question is kid's play


Take AB = c BC = a CA = b. Now the basic thing is midpoint of hypotenuse is circumcentre i.e. M then AM = BM = CM which is b/2=√117 then b²=4(117). Here area of triangle is ac/2 and we are given a+c=30 and a²+c²=b²=4(117) then ( a+c )²=900=4(225) then a²+c²+2ac=4(225). Hence 2ac=4(108) then area ac/2=108
0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts