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प्रश्न
Construct a triangle using the given data: Perimeter of triangle is 9 cm, and the base angles are 60° and 45°
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उत्तर
Perimeter of triangle is 9 cm, and the base angles are 60° and 45°
Steps of construction:
1. Draw DE = 9 cm.
2. Draw DP and EQ such that ∠PDE = 45° and ∠QED = 60°.
3. Draw AD and AE, the bisectors of angles PDE and QED respectively, intersecting each other at A.
4. Draw perpendicular bisectors of AD and AE, intersecting DE at points B and C respectively.
5. Join AB and AC.
Thus, ABC is the required triangle.
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संबंधित प्रश्न
Choose the lengths of the sides yourself and draw one equilateral, one isosceles and one scalene triangle.
Draw triangle with the measures given below.
In ∆MAT, l(MA) = 5.2 cm, m∠A = 80°, l(AT) = 6 cm
Students should take examples of their own and practise the construction of triangles.
Construct a right-angled triangle in which Side DE = 6 cm and ∠E = 30°, ∠D = 90°
Construct an isosceles triangle in which: AB = AC, BC = 6 cm and ∠B = 75°
Construct an isosceles triangle in which: PQ = QR, PR = 4.5 cm and ∠R = 60°
Construct a triangle using the following data: PQ + PR = 10.6 cm, QR = 4.8 cm and ∠R = 45°
Construct a triangle using the given data: PQ - PR = 1.5 cm, QR = 6.0 and ∠Q = 45°
Construct a ΔXYZ with YZ = 7.5 cm, ∠Y = 60° and ∠Z = 45°. Draw the bisectors of ∠Y and ∠Z. If these bisectors meet at O, measure angle YOZ.
In Construction of triangle ABC where AB = 3 cm, BC = 5 cm, and ∠ABC = 60°, which side must be drawn first as the base?
