English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7

Construct a triangle PQR with given conditions. ∠Q = 90°, ∠R = 42° and QR = 5.5 cm

Advertisements
Advertisements

Question

Construct a triangle PQR with given conditions.

∠Q = 90°, ∠R = 42° and QR = 5.5 cm

Diagram
Advertisements

Solution



Construction:

Step 1: Drawn a line. Marked Q and R on the line such that QR = 5.5 cm.

Step 2: At Q, drawn a ray QX making an angle of 90° with QR.

Step 3: At R, drawn another ray RY making an angle of 42° QR.

Marked the point of intersection of the rays QX and RY as P.

PQR is the required triangle.

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Geometry - Exercise 4.2 [Page 85]

APPEARS IN

Samacheer Kalvi Mathematics - Term 2 [English] Class 7 TN Board
Chapter 4 Geometry
Exercise 4.2 | Q 7. III. (iii) | Page 85

RELATED QUESTIONS

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.

∆ABC, AB = 4.5 cm, AC = 4 cm, ∠A = 60°.

∆DEF, DE = 4 cm, FD = 4.5 cm, ∠D = 55°.


In the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED


In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB


State whether the two triangles are congruent or not. Justify your answer


Using the given figure, prove that the triangles are congruent. Can you conclude that AC is parallel to DE



In the following figure, AB = AD and ∠BAC = ∠DAC. Then 

  1. ∆ ______ ≅ ∆ABC.
  2. BC = ______.
  3. ∠BCA = ______.
  4. Line segment AC bisects ______ and ______.

In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.


In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.


State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).

∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°

∆STU: ST = 3.5 cm, TU = 4 cm, ∠T = 60°


State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).

∆ABC: AB = 4.8 cm, ∠A = 90°, AC = 6.8 cm

∆XYZ: YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×