Area of Similar Triangles and Pythagoras Theorem. Mathematics CBSE, Class 10: lessons, tests, tasks.

1.	Theorem based on the area of similar triangles
2.	Pythagoras theorem
3.	Converse of the Pythagoras ttheorem
4.	Perpendicular-on-Hypotenuse theorem

1.	Find the ratio of the areas Difficulty: easy	2
2.	Find the area of the similar triangle Difficulty: easy	2
3.	Find the ratio of the corresponding sides Difficulty: easy	2
4.	Determine whether the sides form a right triangle Difficulty: easy	2
5.	Check whether the numbers satisfies the Pythaoras theorem Difficulty: easy	2
6.	Find the unknown side 'a' Difficulty: medium	3
7.	Find the area of similar triangle Difficulty: medium	3
8.	Find the missing side Difficulty: medium	3
9.	How far is the lizard from the wall? Difficulty: medium	3
10.	Find the value of 'y' Difficulty: medium	3
11.	Find the unknown side Difficulty: medium	3
12.	Solve for 'x' Difficulty: medium	3
13.	Find the unknown measure of the similar triangle Difficulty: medium	3
14.	Find the distance Difficulty: hard	4
15.	Find the distance between the ships Difficulty: hard	4
16.	Find the area Difficulty: hard	4
17.	Calculate the length Difficulty: hard	4
18.	Find the area of the isosceles right triangle Difficulty: hard	4
19.	Determine the third angle of the triangle Difficulty: hard	4
20.	Read the figure and prove the statement Difficulty: medium	3

1.	Training test I Difficulty: medium	10
2.	Training test II Difficulty: medium	10
3.	Homework I Difficulty: hard	12

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Methodical recommendation

Area of Similar Triangles and Pythagoras Theorem