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Let's move on, let's learn something interesting about area of triangles, let's say we have two parallel

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lines over here and I marked this SBC.

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Now, let me construct a triangle by choosing one point on this line.

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Let that be.

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And I joined with B and C and I get triangle ABC.

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Now, let me choose another point on this line.

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That's the and I join David BNC and I get Triangle DBC.

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Now, let me take one more point on this line.

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Let that be E and I joined with B and C and I get triangle EBC.

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Now the between this line and B C that is A, right.

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That's the perpendicular distance between two parallel lines.

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That is it.

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Now you will see that the area of Triangle ABC is equal to the area of Triangle BBC and that is equal

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to the triangle of E, B, C, because area is half into base, into height.

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And the height is the same thing for these three triangles because they are triangles between parallel

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lines and these three triangles have the same base B.C. So poor area of Wrangell.

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ABC is equal to area of triangle, BBC is equal to area of triangle EBC and that is equal to half each

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in two B.C. because the base, they have a common base and the height is the same for these three triangles.

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Now you will see.

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So what does that mean?

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Area of triangles.

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With the same base.

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And between parallel lines.

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Is the same.

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Right now, you can note that these three triangles are not congruent, right, you can see that if

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you superimpose ABC on top of BBC, they will not exactly match, right?

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So they are not congruent.

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So it's not necessary that if you have two triangles of the same area, that they be congruent.

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But the reverse is true.

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If two triangles are congruent, then they definitely have the same area to quickly summarize triangles

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with the same base and between parallel lines have the same area because we have seen the formula for

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area of triangles, half in the base into height.