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Construct a triangle PQR with given conditions. ∠P = 115°, ∠Q = 40° and PQ = 6 cm - Mathematics

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प्रश्न

Construct a triangle PQR with given conditions.

∠P = 115°, ∠Q = 40° and PQ = 6 cm

आकृति
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उत्तर



Construction:

Step 1: Drawn a line. Marked P and Q on the line such that PQ = 6 cm.

Step 2: At P, drawn O ray PX making an angle of 115° with PQ.

Step 3: At Q, drawn another ray QY making an angle of 40° with PQ.

Marked the point of intersection of the rays PX and Q Y as R.

PQR is the required triangle.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Geometry - Exercise 4.2 [पृष्ठ ८५]

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सामाचीर कलवी Mathematics - Term 2 [English] Class 7 TN Board
अध्याय 4 Geometry
Exercise 4.2 | Q 7. III. (ii) | पृष्ठ ८५

संबंधित प्रश्न

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 Fig,

AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ∆ADB ≅ ∆ADC? Give reasons.
(iii) Is ∠B = ∠C? Give reasons.


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



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, two triangles are congruent by RHS.


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.


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°


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