Home
Class 7
MATHS
A point A is inside a triangle PQR. Show...

A point A is inside a triangle PQR. Show that `2(AP+AQ+AR) gt PQ+QR+RP`.

Promotional Banner

Topper's Solved these Questions

  • THE TRIANGLE AND ITS PROPERTIES

    ICSE|Exercise CHALLENGE|1 Videos

  • THE TRIANGLE AND ITS PROPERTIES

    ICSE|Exercise REVISIONS EXERCISE|15 Videos

  • THE TRIANGLE AND ITS PROPERTIES

    ICSE|Exercise EXERCISE 12.2|11 Videos

  • SYMMETRY

    ICSE|Exercise Exercise 19B|13 Videos

  • UNITARY METHOD

    ICSE|Exercise EXERCISE|16 Videos

Similar Questions

Explore conceptually related problems

S is any point on side QR of a Delta PQR . Show that PQ + QR+RP gt 2 PS .

A circle is inscribed in a triangle PQR with PQ = 10 cm, QR = 8 cm and PR = 12 cm. Find the lengths QM, RN and PL.

A circle is inscribed in a triangle PQR with PQ = 10 cm, QR = 8 cm and PR = 12 cm. Find the lengths QM, RN and PL.

Take any point O in the interior of a triangle PQR. Is (i) OP+OQ > PQ? (ii) OQ+OR > QR? (iii) OR+OP > RP?

P is any point inside the triangle ABC. Prove that : angleBPC gt angleBAC .

By using rule and compass only , construct a triangle PQR given that : QR = 6 cm, RP = 5 cm and angle R = 135^(@)

In the following figures, the sides AB and BC and the median AD of triangle ABC are respectively equal to the sides PQ and QR and median PS of the triangle PQR. Prove that Delta ABC and Delta PQR are congruent.

In the given figure , PR gt PQ Prove that : AR gt AQ

PQR is a triangle right-angled at P and M is a point on QR such that P M_|_Q R . Show that P M^2=Q M.M R .

PQR is a right angled triangle at Q with QR =12 a=cm and PQ=5cm. A circle with centre O is inscribed in trianglePQR. Find the radius of the circle.