Doubtnut one of the best online education platform provides free NCERT Solutions of Maths for Class 10 Triangles which are solved by our maths experts as per the NCERT (CBSE) guidelines. Triangles Class 10 Notes PDF deals with class 10 Maths. By class 10, students are expected to be familiar with triangles and their relevant properties. In class 9, students studied the congruence of triangles. Furthermore, students must recall that two figures happen to be congruent if they have the same size and the same Ncert Solutions Of Class 10th Maths Chapter 8 List shape. Moreover, this particular chapter will deal with the figures that tend to have the same shape but not necessarily the size. Most noteworthy, two figures having the same shape but not necessarily the same size are referred to as similar figures. Furthermore, triangles c. Check these important MCQs which have been exclusively framed to prepare for the CBSE Class 10 Maths Exam

Example: Any two line segments are similar since length are proportional Any two circles are similar since radii are proportional Any two squares are similar since corresponding angles are equal and lengths are proportional. Note: Similar figures are congruent if there is one to one correspondence between the figures. Any two triangles are similar, if their. Statement: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Theorem 2. The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Note: If the areas of two similar triangles are equal, the triangles are congruent. Statement: Prove that, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Statement: Prove that, in a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.

All congruent figures are similar but all similar figures are not congruent. SIMILAR POLYGONS Two polygons are said to be similar to each other, if: i their corresponding angles are equal, and ii the lengths of their corresponding sides are proportional Example: Any two line segments are similar since length are proportional Any two circles are similar since radii are proportional Any two squares are similar since corresponding angles are equal and lengths are proportional.

If two triangles are equiangular, then they are similar. Corollary AA similarity. If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.

SSS Similarity Criterion. If the corresponding sides of two triangles are proportional, then they are similar. SAS Similarity Criterion. If in two triangles, one pair of corresponding sides are proportional and the included angles are equal, then the two triangles are similar. BD ii Result on Acute Triangles. RD Sharma Class 12 Solutions. Watch Youtube Videos.

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