Advertisements
Advertisements
प्रश्न
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.
उत्तर
1. Draw a line BC = 7 cm.
2. Draw a ray CN making an angle of 60° at C.
3. Draw a ray BM making an angle of 45° at B.
4. Locate the point of intersection of rays CN and BM and name it as A.
5. ABC is the triangle whose similar triangle is to be drawn.
6. Draw any ray BX making an acute angle with BC on the side opposite to the vertex A.
7. Locate 5 (Greater of 3 and 5 in`3/5`) points X1, X2, X3, X4 and X5 on BX so that BX1 = X1X2 = X2X3 = X3X4 = X4 X5 .
8. Join X5C and draw a line through X3 (Smaller of 3 and 5 in`3/5`) parallel to X5C to intersect BC at C’.
9. Draw a line through C’ parallel to the line CA to intersect BA at A’.
10. A’BC’ is the required similar triangle whose sides are`3/5` times the corresponding sides of ΔABC
APPEARS IN
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.
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 triangle with sides 5 cm, 6 cm, and 7 cm and then another triangle whose sides are `7/5`of the corresponding sides of the first triangle.
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 .
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.
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.
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.
