Question

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Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.

Solution

The rough sketch of the required ΔDEF is as follows.

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The steps of construction are as follows.

(i)Draw a line segment DE of length 5 cm.

(ii) At point D, draw a ray DX making an angle of 90° with DE.

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(iii) Taking D as centre, draw an arc of 3 cm radius. It will intersect DX at point F.

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(iv) Join F to E. ΔDEF is the required triangle.

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Some More Questions From Practical Geometry Chapter

Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.

Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

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Practical Geometry

Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.

Some More Questions From Practical Geometry Chapter

Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.

Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Construct an equilateral triangle of side 5.5 cm.

Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of
triangle is this?

Construct ΔABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.

Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.

Construct an isosceles triangle in which the lengths of each of its equal sides
is 6.5 cm and the angle between them is 110°.

Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m∠C = 60°.

Construct ΔABC, given m∠A = 60°, m∠B = 30° and AB = 5.8 cm.

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NCERT Sample Papers

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For Daily Free Study Material Join wiredfaculty

Practical Geometry

Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.

Some More Questions From Practical Geometry Chapter

Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.

Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Construct an equilateral triangle of side 5.5 cm.

Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type oftriangle is this?

Construct ΔABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.

Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.

Construct an isosceles triangle in which the lengths of each of its equal sidesis 6.5 cm and the angle between them is 110°.

Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m∠C = 60°.

Construct ΔABC, given m∠A = 60°, m∠B = 30° and AB = 5.8 cm.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of
triangle is this?

Construct an isosceles triangle in which the lengths of each of its equal sides
is 6.5 cm and the angle between them is 110°.