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

Construct a triangle XYZ with the given conditions. XY = 6.4 cm, ZY = 7.7 cm and XZ = 5 cm - Mathematics

Advertisements
Advertisements

Question

Construct a triangle XYZ with the given conditions.

XY = 6.4 cm, ZY = 7.7 cm and XZ = 5 cm

Diagram

Solution



Construction:

Step 1: Draw a line. Marked Y and Z on the line such that YZ = 7.7 cm.

Step 2: With Y as centre drawn an arc of radius 6.4 cm above the line YZ.

Step 3: With Z as centre, drawn an arc or radius 5 cm to intersect arc drawn in steps.

Marked the point of intersection as X.

Step 4: Joined YX and ZX.

Now XYZ 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. I. (i) | Page 85

RELATED QUESTIONS

In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm. Examine whether the two triangles are congruent or not. If yes, write the congruence relation in symbolic form.


Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:


Construct a triangle XYZ with the given conditions.

An equilateral triangle of side 7.5 cm


In the given figure FG = FI and H is midpoint of GI, prove that ∆FGH ≅ ∆FHI


If D is the mid-point of the side BC in ∆ABC where AB = AC, then ∠ADC is ______.


In the following pairs of triangles of figure, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.


In the following pairs of triangles of figure, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.


ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (see figure).

  1. State three pairs of equal parts in the triangles ABD and ACD.
  2. Is ∆ABD ≅ ∆ACD. If so why?


In the given figure, it is given that LM = ON and NL = MO

  1. State the three pairs of equal parts in the triangles NOM and MLN.
  2. Is ∆NOM ≅ ∆MLN. Give reason?


Triangles DEF and LMN are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then, are the two triangles congruent? Which condition do you use? If ∠E = 40°, what is the measure of ∠N?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×
Our website is made possible by ad-free subscriptions or displaying online advertisements to our visitors.
If you don't like ads you can support us by buying an ad-free subscription or please consider supporting us by disabling your ad blocker. Thank you.