SOLUTION: Construct a ∆PQR with |QR| = 7cm, |PR| = 8cm, and

SOLUTION: Construct a ∆PQR with |QR| = 7cm, |PR| = 8cm, and < PQR = 60°

Question 1199438: Construct a ∆PQR with |QR| = 7cm, |PR| = 8cm, and < PQR = 60°
Found 2 solutions by greenestamps, math_tutor2020:
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

(1) Lay out segment QR with length 7
(2) Construct 60-degree angle at Q, giving a ray with initial point Q
(3) With center at R, draw an arc with radius 8, intersecting the ray from step (2)

Since RP = 8 is greater than RQ = 7, the arc from step (3) will intersect the ray from step (2) in only one place; that point of intersection is point P.

(4) draw segment PR to complete the triangle

Note if RP had been less than RQ, the arc in step (3) would have intersected the arc from step (2) in two places. That would have given two possibilities for the location of point P, leading to two different triangles with the prescribed features.

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Refer to these sources to see how to construct a 60 degree angle.

https://www.mathsisfun.com/geometry/construct-60degree.html
https://www.mathopenref.com/constangle60.html

RELATED QUESTIONS
QT and PM are altitude of ∆PQR. If |QR| = 8cm, |PR| = 7cm and QT = 4cm, what is |PM| (answered by ikleyn)
is it possible to construct traingle PQR in which QR- 57cm,angle is 45 Degree and PR is (answered by Fombitz)
Triangle PQR has PQ=8cm, QR= 10cm and angle PQR is 40�. Calculate the area of triangle... (answered by stanbon)
the centres of three circles form a triangle PQR in which PQ=8cm, QR=10cm, and PR=12cm.... (answered by ikleyn)
Please help me solving this problem. It says construct triangle PQR where PQ... (answered by Edwin McCravy)
in triangle PQR if angle r greater than angle q then (QR=PR, PQ > PR,QR LESSTHAN PR PQ <... (answered by CubeyThePenguin)
In triangle PQR: Angle P= 49 degrees Angle R= 37 degrees PR=26 cm Find QR and the... (answered by stanbon)
PQR is an isosceles triangle such that QP=QR=13cm and the altitude PS=12cm. Find the... (answered by mathispowerful)
For Triangle PQR, PQ=(4x-9), PR=(2x+3) and QR=17. Find the value of... (answered by stanbon)