हिंदी

Construct a Triangle Pqr with Sides Qr = 7 Cm, Pq = 6 Cm and ∠ Pqr = 60º. Then Construct Another Triangle Whose Sides Are 3 5 of the Corresponiding Sides of ∆Pqr. - Mathematics

Advertisements
Advertisements

प्रश्न

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.

संक्षेप में उत्तर

उत्तर

Steps of Construction
Step 1. Draw a line segment QR = 7 cm.
Step 2. At B, draw

\[\angle\]YQR.
Step 6. Along QY, mark five points R1, R2, R3, Rand Rsuch that QR1 = R1R2 = R2R3 = R3R4 = R4R5 .
Step 7. Join RR5.
Step 8. From R3, draw R3R' || RR5 meeting QR at R'.
Step 9. From R', draw P'R' || PR meeting PQ in P'.

Here, ∆P'QR' is the required triangle whose sides are \[\frac{3}{5}\] of the corresponding sides of ∆PQR.

shaalaa.com
Constructions Examples and Solutions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Constructions - Exercise 9.2 [पृष्ठ ९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 9 Constructions
Exercise 9.2 | Q 14 | पृष्ठ ९

संबंधित प्रश्न

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 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 .


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


Construct an isosceles triangles whose base is 8 cm and altitude 4 cm and then another triangle whose sides are`1/2` times the corresponding sides of the isosceles 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 with sides 5 cm, 5.5 cm and 6.5 cm. Now construct another triangle, whose sides are \[\frac{3}{5}\] times the corresponding sides of the given triangle. 


Draw a ∆ABC in which base BC = 6 cm, AB = 5 cm and ∠ABC = 60°. Then construct another triangle whose sides are \[\frac{3}{4}\] of the corresponding sides of ∆ABC.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×