Advertisements
Advertisements
Question
Construct a ΔPQR , in which PQ = 6 cm, QR = 7 cm and PR =- 8 cm. Then, construct another triangle whose sides are`4/5` times the corresponding sides of ΔPQR .
Solution
Steps of Construction
Step 1: Draw a line segment QR = 7cm.
Step 2: With Q as center and radius 6 cm, draw an arc.
Step 3: With R as center and radius 8cm, draw an arc cutting the previous arc at P
Step 4: Join PQ and PR. Thus, ΔPQR is the required triangle.
Step 5: Below QR, draw an acute angle ∠RQX.
`Step 6: "Along OX, mark five points "R_1 ,R_2 ,R_3 ,R_4 and R_5 "such that" QR_1 = R_1 R_2 = R_2 R_3 = R_3 R_4 = R_4 R_5` .
Step 7: Join 5RR .
Step 8: From R4 , draw R4 R' || RR5 meeting QR at R’.
Step 9: From R’, draw P’R’ || PRmeeting PQ in P’.
Here, ΔP'QR' is the required triangle, each of whose sides are`4/5` times the corresponding sides of ΔPQR.
APPEARS IN
RELATED QUESTIONS
Construct a right triangle ABC with AB = 6 cm, BC = 8 cm and ∠B = 90°. Draw BD, the perpendicular from B on AC. Draw the circle through B, C and D and construct the tangents from A to this circle.
Construct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then construct another triangle whose sides are `3/4`times the corresponding sides of the isosceles triangle.
Draw a triangle ABC with BC = 6 cm, AB = 5 cm and ∠ABC = 60°. Then construct a triangle whose sides are `3/4` of the corresponding sides of the ∆ABC.
Construct a ΔABC with BC = 7 cm, ∠B = 60° and AB = 6 cm. Construct another triangle whose sides are `3/4` times the corresponding sides of ΔABC
Construct a ΔABC in which BC = 8 cm, ∠B = 45° and ∠C = 60° . Construct another triangle similar to ΔABC such that its sides are `3/5`of the corresponding sides of ΔABC .
To construct a triangle similar to ΔABC in which BC = 4.5 cm, ∠B = 45° and ∠C =60° , using a scale factor of `3/7`, BC will be divided in the ratio
(a) 3 : 4 (b) 4 : 7 (c) 3 : 10 (d) 3 : 7
Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3cm. Then, construct another triangle whose sides are `5/3`times the corresponding sides of the given triangle.
Draw a triangle ABC with BC = 7 cm, ∠ B = 45° and ∠C = 60°. Then construct another triangle, whose sides are `3/5` times the corresponding sides of ΔABC.
Construct a triangle PQR with sides QR = 7 cm, PQ = 6 cm and \[\angle\]PQR = 60º. Then construct another triangle whose sides are \[\frac{3}{5}\] of the corresponiding sides of ∆PQR.
The line segment joining the points A(2, 1) and B(5, −8) is trisected at the points P and Q such that P is nearer to A. If P also lies on the line given by 2x − y + k = 0, find the value of k.
