Question
Construct traingle ABC, when : AB = 5.4 cm, ∠A = 30° and ∠B = 90°. Measure ∠C and side BC.
✓
Answer
Steps of Construction:
(1) Draw a line segment AB = 5.4 cm.
(2) At A construct an angle ∠A = 30°.
(3) At B construct an angle ∠B = 90°.
(4) AD and BE intersect each other at C.
(5) ∴ ∆ABC is the required triangle.
(6) On measuring ∠C = 60° side BC = 31 cm.
(1) Draw a line segment AB = 5.4 cm.
(2) At A construct an angle ∠A = 30°.
(3) At B construct an angle ∠B = 90°.
(4) AD and BE intersect each other at C.
(5) ∴ ∆ABC is the required triangle.
(6) On measuring ∠C = 60° side BC = 31 cm.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the $L.C.M.$ of the following group of numbers, using
→- the prime factor method and
- the common division method
In your note-book copy the following angle using ruler and a pair compass only.
Draw line AB = 6 cm. Construct angle ABC = 60°. Then draw the bisector of angle ABC.
Construct a triangle XYZ, in which XY = YZ = ZX = 4.5 cm. Draw all its lines of symmetry.
Using ruler and a pair compass only, construct a triangle PQR, given PQ = 5.5 cm, QR = 7.5 cm and RP = 6 cm. Draw the bisectors of the interior angles at P, Q and R. Do these bisectors meet at the same point ?
In a study of number of accidents per day, the observations for 30 days were obtained as follows:
Construct a suitable frequency distribution table.
| 6 | 3 | 5 | 6 | 4 | 3 | 2 | 5 | 4 | 2 |
| 4 | 0 | 5 | 3 | 6 | 1 | 5 | 5 | 2 | 6 |
| 2 | 1 | 2 | 2 | 0 | 5 | 4 | 6 | 1 | 6 |
Evaluate:
$8-\left\{5 \frac{1}{3}-\left(3-2 \frac{1}{2}\right)\right\}$
→$8-\left\{5 \frac{1}{3}-\left(3-2 \frac{1}{2}\right)\right\}$
Construct traingle ABC, when : AB = 3 cm, BC = 7 cm and ∠B = 90°.
Represent the following data in the form of a frequency distribution:
52, 56, 72, 68, 52, 68, 52, 68, 52, 60, 56, 72, 56, 60, 64, 56, 48, 48, 64 and 64
52, 56, 72, 68, 52, 68, 52, 68, 52, 60, 56, 72, 56, 60, 64, 56, 48, 48, 64 and 64
The ratio between the interior angle and the exterior angle of a regular polygon is $2: 1.$ Find:
$(i)$ each exterior angle of the polygon ;
$(ii)$ number of sides in the polygon.
→$(i)$ each exterior angle of the polygon ;
$(ii)$ number of sides in the polygon.