In ∆PQR , PQ =6cm, PR=8cm and P is the orthocentre. What is the length of QR ?
(A) 9cm
(B) 8cm
(C) 10cm
(D) cannot be determined

Open in App

Solution

Since orthocentre is point where 3 perpendiculars meet Therfore we can apply pythagorous theorem and get the answer
Length of QR=sqrt(6²+8²)
Length of QR=sqrt(36+64)
Length of QR=sqrt(100)
Length of QR=10cm

Suggest Corrections

Similar questions

Q. In right angle triangle

Δ P Q R,

right angle is at

Q

and

P Q = 6 c m, ∠ R P Q = 60^{\circ} .

Determine the lengths of

Q R

and

P R .

Q. In right angle triangle

Δ P Q R

, right angle is at Q, and PQ=6cm,

∠ R P Q = 60^{\circ}

. Determine the length of QR and PR.

Q. In

Δ P Q R, P Q = 4 c m

and

Q R = 6 c m

. What can be the length of the third side PR. Find the minimum possible lengths of side PR

Q. Construct a ∆PQR in which QR = 6 cm, PQ = 4.4 cm and PR = 5.3 cm. Draw the bisector of ∠P.

Constructa $Δ P Q R,$ in which PQ = 6 cm, QR = 7 cm and PR = 8 cm. Then, construct another triangle whose sides are $\frac{4}{5}$ to,of the corresponding sides of $Δ P Q R$ .

Join BYJU'S Learning Program

In ∆PQR , PQ =6cm, PR=8cm and P is the orthocentre. What is the length of QR ? (A) 9cm (B) 8cm (C) 10cm (D) cannot be determined

Since orthocentre is point where 3 perpendiculars meet Therfore we can apply pythagorous theorem and get the answer Length of QR=sqrt(6²+8²) Length of QR=sqrt(36+64) Length of QR=sqrt(100) Length of QR=10cm

In ∆PQR , PQ =6cm, PR=8cm and P is the orthocentre. What is the length of QR ?
(A) 9cm
(B) 8cm
(C) 10cm
(D) cannot be determined

Since orthocentre is point where 3 perpendiculars meet Therfore we can apply pythagorous theorem and get the answer
Length of QR=sqrt(6²+8²)
Length of QR=sqrt(36+64)
Length of QR=sqrt(100)
Length of QR=10cm