Free help with homework

Why join Brainly?

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

In a figure PQR is a right angled triangle. x and y are the midpoints of PQ and QR respectively. If XY=14 cm,then the hypotenuse PR is?



Method 1.Using Pythagorus theorem.
QX² + QY² = XY² = 14²

[(1/2)QP]² + [(1/2)QR]² = 14²

QP² +QR² = 14²x2²
PR² = (14x2)²
PR = 14x2 = 28

Method 2. Using similarity of triangles
Triangles PRQ and XYQ ar similar.
Hence PR / QR = XY / QY
OR PR = (XY)*(QR/QY) = 14*(2QY/QY) = 28

1 5 1

This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
See figure.

A line joining the mid points is parallel to the third side. So the triangles PQR and XQY are similar.


XY / PX = PR / 2 PX

PR = 2 XY = 28 cm

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