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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ७

Construct a triangle ABC with given conditions. AB = 7 cm, AC = 6.5 cm and ∠A = 120°

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प्रश्न

Construct a triangle ABC with given conditions.

AB = 7 cm, AC = 6.5 cm and ∠A = 120°

आकृती
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उत्तर



Construction:

Step 1: Drawn a line. Marked A and B on the line such that AB = 7 cm.

Step 2: At A, drawn a ray AX making an angle of 120° with AB.

Step 3: With A as centre, drawn an arc of radius 6.5 cm to cut the ray AX.

Marked the point of intersection as C.

Step 4: Joined BC.

ABC is the required triangle.

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पाठ 4: Geometry - Exercise 4.2 [पृष्ठ ८५]

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सामाचीर कलवी Mathematics - Term 2 [English] Class 7 TN Board
पाठ 4 Geometry
Exercise 4.2 | Q 7. II. (i) | 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 = 7 cm, BC = 5 cm, ∠B = 50°.

∆DEF, DE = 5 cm, EF = 7 cm, ∠E = 50°.


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.


For the given pair of triangles state the criterion that can be used to determine the congruency?


Construct a triangle XYZ with the given conditions.

BC = 8 cm, AC = 6 cm and ∠C = 40°


In the following figure, ∆PQR ≅ ∆ ______.



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°


In the following figure, DE = IH, EG = FI and ∠E = ∠I. Is ∆DEF ≅ ∆HIG? If yes, by which congruence criterion?


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