Advertisements
Advertisements
प्रश्न
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.
उत्तर
Let ABC be an isosceles triangle with AB = AC, base BC = 6 cm and altitude AD = 4 cm.
A ΔA'BC', whose sides are 34 times the sides of ΔABC, can be drawn using the following steps:
1. Draw a line segment BC of 6 cm. Draw arcs of the same radius on both sides of the line segment while taking points B and C as its centre. Let these arcs intersect each other at O and O'. Join OO'. Let OO' intersect BC at D
2. Taking D as centre, draw an arc of 4 cm radius which cuts the line segment OO' at point A. An isosceles ΔABC is formed, having altitude (AD) as 4 cm and base (BC) as 6 cm.
3. Draw a ray BX making an acute angle with line segment BC on the opposite side of vertex A.
4. Locate 4 points (as 4 is greater between 3 and 4) B1, B2, B3 and B4 on BX such that BB1 = B1B2 = B2B3 = B3B4.
5. Join CB4 and draw a line through B3 parallel to CB4 to intersect line segment BC at point C'.
6. Draw a line through C' parallel to AC intersecting line segment AB at A'.
Thus, ΔA'BC' is the required triangle
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.
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 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 AB = 6 cm, ∠A = 30° and ∠AB = 60° . Construct another ΔAB'C ' similar to ΔABC with base AB’ = 8 cm.
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.
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.
