+91-8076753736 support@wiredfaculty.com

Sponsor Area

Practical Geometry

Question

Wired Faculty App

Construct an isosceles right-angled triangle ABC, where, m∠ACB = 90° and AC = 6 cm.

Solution

In an isosceles triangle, the lengths of any two sides are equal.

Let in ΔABC, AC = BC = 6 cm. A rough sketch of this ΔABC is as follows.

wiredfaculty.com

The steps of construction are as follows.

(i) Draw a line segment AC of length 6 cm.

(ii) At point C, draw a ray CX making an angle of 90º with AC.

wiredfaculty.com

(iii) Taking point C as centre, draw an arc of 6 cm radius to intersect CX at point B.

wiredfaculty.com

(iv) Join A to B to obtain the required ΔABC.

wiredfaculty.com

Some More Questions From Practical Geometry Chapter

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.

Construct ΔPQR if PQ = 5 cm, m∠PQR = 105° and m∠QRP = 40°.
(Hint: Recall angle sum property of a triangle).

Examine whether you can construct ΔDEF such that EF = 7.2 cm, m∠E =
110° and m∠F = 80°. Justify your answer.

Construct the right angled ΔPQR, where m∠Q = 90°, QR = 8 cm and PR = 10 cm

Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.

Construct an isosceles right-angled triangle ABC, where, m∠ACB = 90° and AC = 6 cm.

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation