Question

Construct ΔPQR,  PQ = 5.4 cm angle Q = 60 degree PR - PQ = 2.3 cm

SUPER URGENT NEED STEPS AND DIAGRAM!!!!

Answer 1

pr - pq = 2.3cm
pr = 7.7 cm

draw a line segment pq = 5.4 cm.
from q draw a 60 degree angle.mark it aq
now from p draw an arc  with the radius 7.7 cm to cut aq and name it p.
therefore , pqr is the required triangle.

Answer 2

Given:

• PQ = 5.4 cm
• ∠Q = 60°
• PR - PQ = 2.3 cm

To Find:

• To construct a triangle using the given data.

Solution:

• Steps involved for constructing a triangle are:
• Draw a line with 5.4 cm and consider it to be the base with PQ as the name. (Using a scale).
• Draw an angle of 60° from a point Q of the base. (Using a protractor) and name it QX.
• Using a compass cut an arc from the point Q towards the opposite side since PR - PQ = 2.3 cm is negative.
• You get a point, join the point with P.
• To get the triangle we draw a perpendicular bisector that should intersect PO.

∴ We get a triangle PQR.