Std 10 Maths Chapter 6 solution in Gujarati medium
ધોરણ 10 ગણિત પ્રકરણ 6 ત્રિકોણ
What about the symmetry of two triangles? You will remember that triangles are also polygons.
Therefore the conditions for symmetry can also be shown for the symmetry of two triangles.
સ્વાધ્યાય 6.1
https://youtu.be/OnWGWJBKNdU
It is as follows. If (i) the corresponding angles of two triangles are equal (ii) the ratio of their corresponding sides is equal (i.e. the sides are symmetrical), then the two triangles are equal.
We know that, if the corresponding angles of two triangles are equal, they are called right triangles. The famous Greek mathematician Thales gave an important result about two right triangles.
સ્વાધ્યાય 6.2
It is as follows: In two right triangles the ratio of the pairs of each corresponding side is equal. It is believed that for this he used the result of the basic theorem of symmetry.
સ્વાધ્યાય 6.3
(To understand the basic theorem of symmetry now known as Thales' theorem, let us do the following activity:
Activity 2: Draw any angle (XAY) and its sides have AX ૫૨ points (say, five points) P, Q, D, R and B. Show that, AP = PQ = QD = DR = RB. Now, draw a line intersecting the side AY from B to C (see Figure 6.9.) Moreover, a line intersecting AC from point D and parallel to BC Draw.
From your composition you observed B AD Observe that, èä will also happen. ૐ? Measure AE and EC. What can be said for 8? This is due to the following theorem.
(Basic Theorem of Symmetry Theorem 6.1: If a line drawn parallel to one side of a triangle intersects the other two sides at different points, then the lines intersected by the sides divide the sides symmetrically.
Proof: A line parallel to the side BC of ABC ntersects the other two sides AB and AC at D and E respectively. (See Figure 6.10.) AE =. Is this just a coincidence? , It is known as EC. )
Post a Comment
0 Comments