Home
Class 10
MATHS
In the adjoining figure, PQR, is a right...

In the adjoining figure, PQR, is a right triangle, right angled at Q. X and Y are the points on PQ and QR such that `PX : XQ = 1:2` and `QY: YR = 2:1`. Prove that `9(PY^2 + XR^2) = 13PR^2`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (SHORT ANSWER TYPE QUESTIONS-II)|39 Videos

  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Self -Assessment Test|11 Videos

  • VALUE-BASED QUESTIONS

    VK GLOBAL PUBLICATION|Exercise Unit-VII : (Statistics & Probability)|8 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure,PQR,is a right triangle,right angled at C .X and Y are the points on PQ and QR such that PX:XQ=1:2 and QY:YR=2:1. Prove that 9(PY^(2)+XR^(2))=13PR^(2)

PQR is a triangle right angled at P and M is a point on QR such that PM perp QR Show that PM^(2)=QM.MR

In given figure PQR is a right angled triangle, right angled at Q and QS bot PR. If PQ=6 cm and PS=4cm, then find QS, RS and QR.

In a right triangle ABC , right angled at C, P and Q are the points of the sides CA and CB respectively , which divide these sides in the ratio 2 : 1 Prove that 9(AQ^(2)+BP^(2))=13AB^(2)

In the given Fig. PQR is a triangle, right angled at Q. If XY || QR, PQ =6 cm, PY= 4 cm and PX : XQ= 1 : 2. Calculate the lengths of PR and QR.

In the figure below, PQR is a right-angled triangle, right angled at P. A perpendicular line PS is drawn from P to QR. PR = 5 cm and PQ = 12 cm. What is RS:SQ?

PQR is a triangle right-angled at Q. If X and Y are the mid-points of the sides PQ and QR respectively, then which one of the following is not correct?

In the adjoining figure, DeltaPQR is an equilateral triangle. Point S is on seg QR. such that QS=(1)/(3)QR. Prove that : 9PS^(2)=7PQ^(2).

M and N are the points on sides QR and PQ respectively of a trianglePQR , right angled at Q. prove that PM^(2) + RN^(2)= PR^(2)+MN^(2)

1. In the figure trianglePQR is an equilateral triangle, the point N is on ray QR such that QR=RN. Prove that PN^2 = 3PR^2