{"id":581518,"date":"2022-02-23T11:10:13","date_gmt":"2022-02-23T11:10:13","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=581518"},"modified":"2022-02-25T09:34:56","modified_gmt":"2022-02-25T09:34:56","slug":"maharashtra-board-solutions-class-9-maths-part-2-chapter-3-5-triangles","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-9-maths-part-2-chapter-3-5-triangles\/","title":{"rendered":"Maharashtra Board Solutions Class 9-Maths (Part 2): Chapter 3.5- Triangles"},"content":{"rendered":"\n

Class 9: Maths Chapter 3.5 solutions. Complete Class 9 Maths Chapter 3.5 Notes.<\/p>\n\n\n\n

Maharashtra Board Solutions Class 9-Maths (Part 2): Chapter 3.5- Triangles<\/h2>\n\n\n\n

Maharashtra Board 9th Maths Chapter 3.5, Class 9 Maths Chapter 3.5 solutions<\/p>\n\n\n\n

Question 1.
If \u2206XYZ ~ \u2206LMN, write the corresponding angles of the two triangles and also write the ratios of corresponding sides.
Solution:<\/strong>
\u2206XYZ ~ \u2206LMN [Given]
\u2234 \u2220X \u2245 \u2220L
\u2220Y \u2245 \u2220M >
\u2220Z \u2245 \u2220N [Corresponding angles of similar triangles]
XYLM=YZMN=XZLN [Corresponding sides of similar triangles]<\/p>\n\n\n\n

Question 2.
In \u2206XYZ, XY = 4 cm, YZ = 6 cm, XZ = 5 cm. If \u2206XYZ ~ \u2206PQR and PQ = 8 cm, then find the lengths of remaining sides of \u2206PQR.
Solution:<\/strong>
\u2206XYZ ~ \u2206PQR [Given]
\u2234 XYPQ=YZQR=XZPR [Corresponding sides of similar triangles]
\"Maharashtra
\u2234 PR = 10 cm
\u2234 QR = 12 cm, PR = 10cm<\/p>\n\n\n\n

Question 3.
Draw a sketch of a pair of similar triangles. Label them. Show their corresponding angles by the same signs. Show the lengths of corresponding sides by numbers in proportion.
Solution:<\/strong>
\"Maharashtra
\u2206GHI ~ \u2206STU<\/p>\n\n\n\n

Question 1.
We have learnt that if two triangles are equiangular then their sides are in proportion. What do you think if two quadrilaterals are equiangular? Are their sides in proportion? Draw different figures and verify. Verify the same for other polygons. (Textbook pg no 50)
Answer:<\/strong>
If two quadrilaterals are equiangular then their sides will not necessarily be in proportion.
Case 1: The two quadrilaterals are of the same type.
\"Maharashtra
Consider squares ABCD and PQRS.
\u2220A = \u2220P, \u2220B = \u2220Q, \u2220C = \u2220R, \u2220D = \u2220S
ABPQ=BCQR=CDRS=ADPS<\/p>\n\n\n\n

Case 2: The two quadrilaterals are of different types.
\"Maharashtra
Consider square ABCD and rectangle STUV.
\u2220A = \u2220S, \u2220B = \u2220T, \u2220C = \u2220U, \u2220D = \u2220V
\"Maharashtra<\/p>\n\n\n\n

Download PDF<\/strong><\/h2>\n\n\n\n

Maharashtra Board Solutions Class 9-Maths (Part 2): Chapter 3.5- Triangles<\/p>\n\n\n\n

Download PDF<\/strong>: Maharashtra Board Solutions Class 9-Maths (Part 2): Chapter 3.5- Triangles PDF<\/a><\/p>\n\n\n\n

Chapterwise Maharashtra Board Solutions Class 9 Maths :<\/strong><\/h2>\n\n\n\n

Part 2<\/strong><\/p>\n\n\n\n