Home
Class 7
MATHS
PQR is a triangle right angled at P. If ...

`PQR` is a triangle right angled at P. If `PQ=10cm and PR=24cm,` find `QR`

Text Solution

AI Generated Solution

To find the length of side QR in triangle PQR, which is right-angled at P, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (QR in this case) is equal to the sum of the squares of the lengths of the other two sides (PQ and PR). ### Step-by-Step Solution: 1. **Identify the sides of the triangle**: - PQ = 10 cm (one leg) - PR = 24 cm (the other leg) - QR = ? (the hypotenuse) ...
Promotional Banner

Topper's Solved these Questions

  • THE TRIANGLE AND ITS PROPERTIES

    NCERT|Exercise EXERCISE 6.1|1 Videos
  • THE TRIANGLE AND ITS PROPERTIES

    NCERT|Exercise EXERCISE 6.2|2 Videos
  • THE TRIANGLE AND ITS PROPERTIES

    NCERT|Exercise EXERCISE 6.4|6 Videos
  • SYMMETRY

    NCERT|Exercise EXERCISE 14.1|9 Videos

Similar Questions

Explore conceptually related problems

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 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.

DeltaPQR is right-angled at PS perp QR If PQ=5cm and PR=12cm, find the area of Delta PQR .Also find the length of PS

Triangle PQR is a right-angled at Q. If PQ=6 cm , PR=10 cm, then QR is equal to: त्रिभुज PQR एक समकोण त्रिभुज है जिसमें Q समकोण है | यदि PQ = 6 सेमी, PR = 10 सेमी है, तो QR किसके बराबर होगा ?

In a triangle PQR, right angled at Q. PQ=5 cm, QR=12 cm. Find the length of QM , if M is the mid point of PR .

In a triangle PQR, PX bisects QR. PX is the angle bisector of angle P. If PQ=12 cm and QX=3 cm, then what is the area (in cm^(2) ) of triangle PQR?

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?