Question
Construct traingle ABC, when : AB = 3 cm, BC = 7 cm and ∠B = 90°.

Answer

Steps of Construction:
(1) Draw a line segment AB = 3 cm

(2) With the help of compasses, construct ∠ABC = 90°.
(3) With B as centre, draw an arc of 7 cm length which cuts BP at C.
(4) Join A and C.
(5) Triangle ABC, so obtained, is the required triangle.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Draw a line segment AB = 7cm. Mark a point Pon AB such that AP=3 cm. Draw perpendicular on to AB at point P.
Look at the adjoining figure and state which of the following statements are true and which are false :
(i) Point C is in the interior of $\angle AOC$.
(ii) Point C is in the interior of $\angle AOD$.
(iii) Point D is in the interior of $\angle AOC$.
(iv) Point B is in the exterior of $\angle AOD$.
(v) Point C lies on $\angle AOB$.
Image
If one angle of a pentagon is 120° and each of the remaining four angles is x°, find the magnitude of x.
Arrange the given fractions in ascending order of magnitude:
$\frac{2}{3}, \frac{5}{9}, \frac{5}{6}, \frac{3}{8}$
In your note-book copy the following angle using ruler and a pair compass only.
In quadrilateral PQRS, ∠P : ∠Q : ∠R : ∠S = 3 : 4 : 6 : 7.
Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other
(i) Is PS also parallel to QR?
(ii) Assign a special name to quadrilateral PQRS.
Angles of a quadrilateral are (4x)°, 5(x+2)°, (7x – 20)° and 6(x+3)°. Find :
(i) the value of x.
(ii) each angle of the quadrilateral.
The angles A, B, C and D of a trapezium ABCD are in the ratio 3: 4: 5: 6. Le. ∠A : ∠B : ∠C : ∠D = 3:4: 5 : 6. Find all the angles of the trapezium. Also, name the two sides of this trapezium which are parallel to each other. Give reason for your answer.
Construct the 120° angle, using ruler and a pair of compass only.