{"id":27505,"date":"2021-06-30T17:47:33","date_gmt":"2021-06-30T12:17:33","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=27505"},"modified":"2021-06-30T17:47:33","modified_gmt":"2021-06-30T12:17:33","slug":"ncert-solutions-for-class-10-maths-chapter-6-ex-6-3","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-6-ex-6-3\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3"},"content":{"rendered":"

These NCERT Solutions for Class 10 Maths<\/a> Chapter 6 Triangles Ex 6.3 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.3<\/h2>\n

\"NCERT<\/p>\n

Question 1.
\nState which pairs of triangles in the given figures are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form :
\n\"NCERT
\n\"NCERT
\nSolution:
\n\"NCERT
\n\"NCERT<\/p>\n

Question 2.
\nIn the given figure, \u2206ODC ~ \u2206OBA, \u2220BOC = 125\u00b0 and \u2220CDO = 70\u00b0. Find \u2220DOC, \u2220DCO and \u2220OAB.
\n\"NCERT
\nSolution:
\n\"NCERT<\/p>\n

Question 3.
\nDiagonals AC and BD of a trape\u2220ium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that \\(\\frac { OA }{ OC }\\) = \\(\\frac { OB }{ OD }\\)
\nSolution:
\n\"NCERT<\/p>\n

Question 4.
\nIn the adjoining figure, \\(\\frac { QR }{ QS }\\) = \\(\\frac { QT }{ PR }\\) and \u22201 = \u22202 show that \u2206PQS ~ \u2206TQR.
\n\"NCERT
\nSolution:
\n\"NCERT<\/p>\n

Question 5.
\nS and T are points on sides PR and QR of \u2206PQR such that \u2220P = \u2220RTS. Show that \u2206RPQ ~ \u2206RTS.
\nSolution:
\n\"NCERT<\/p>\n

Question 6.
\nIn the given figure, if \u2206ABE \u2245 \u2206ACD, show that \u2206ADE ~ \u2206ABC.
\n\"NCERT
\nSolution:
\n\"NCERT<\/p>\n

Question 7.
\nIn the given figure, altitudes AD and CE of \u2206ABC intersect each other at the point P. Show that:
\n(i) \u2206AEP ~ \u2206CDP
\n(ii) \u2206ABD ~ \u2206CBE
\n(iii) \u2206AEP ~ \u2206ADB
\n(iv) \u2206PDC ~ \u2206BEC
\nSolution:
\n\"NCERT<\/p>\n

Question 8.
\nE is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that \u2206ABE ~ \u2206CFB.
\nSolution:
\nGiven: ABCD is a parallelogram, whose side AD is produced to E. BE is joined which intersects CD at F.
\n\"NCERT
\nTO Prove: \u2206ABE ~ \u2206CFB
\nProof: In \u2206ABE and \u2206CFB
\n\u2220A = \u2220C [opposite angles of a parallelogram are equal]
\n\u2220AEB = \u2220EBC [alternate angle]
\nThus, by AA-similarity criterion
\n\u2206ABE ~ \u2206CFB
\nHence Proved.<\/p>\n

Question 9.
\nIn the given figure, ABC and AMP are two right triangles, right angled at B and M respectively. Prove that:
\n\"NCERT
\n(i) \u2206ABC ~ \u2206AMP
\n(ii) \\(\\frac { CA }{ PA }\\) = \\(\\frac { BC }{ MP }\\)
\nSolution:
\n\"NCERT<\/p>\n

Question 10.
\nCD and GH are respectively the bisectors of \u2220ACB and \u2220EGF such that D and H lie on sides AB and FE of \u2206ABC and \u2206EFG respectively. If \u2206ABC ~ \u2206FEG, show that
\nSolution:
\n\"NCERT
\n\"Class<\/p>\n

Question 11.
\nIn the given figure, E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD \u22a5 BC and EF \u22a5 AC, prove that \u2206ABD ~ \u2206ECF.
\n\"NCERT
\nSolution:
\n\"NCERT<\/p>\n

Question 12.
\nSides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of \u2206PQR (see in given figure). Show that \u2206ABC ~ \u2206bPQR.
\n\"NCERT
\nSolution:
\n\"NCERT<\/p>\n

Question 13.
\nD is a point on the side BC of a triangle ABC, such that \u2220ADC = \u2220BAC. Show that CA\u00b2 = CB.CD.
\nSolution:
\n\"NCERT<\/p>\n

Question 14.
\nSides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that \u2206ABC ~ \u2206PQR.
\nSolution:
\n\"NCERT<\/p>\n

Question 15.
\nA vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.
\nSolution:
\n\"NCERT
\nDE is a vertical pole of length = 6 m
\nLength of its shadow = 4 m
\nLet height of tower AB = h m
\nLength of its shadow = 28 m
\nIn \u2206ABC and \u2206DEC,
\n\u2220ABC = \u2220DEC [Each 90\u00b0]
\n\u2220C = \u2220C [Common]
\n\u2206ABC ~ \u2206DEC [AA]
\n\\(\\frac { AB }{ DE }\\) = \\(\\frac { 6 }{ x }\\) = \\(\\frac { 4 }{ 28 }\\)
\n\u21d2 x = 42 cm.<\/p>\n

Question 16.
\nIf AD and PM are medians of triangles ABC and PQR respectively, where \u2206ABC ~ \u2206PQR Prove that\u00a0 \\(\\frac { AB }{ PQ }\\) = \\(\\frac { AD }{ PM }\\)
\nSolution:
\n\"NCERT<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.3 Question 1. State which pairs of triangles in the given figures are similar. Write the similarity criterion used by you for …<\/p>\n

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"yoast_head":"\nNCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-6-ex-6-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 6.3 Questions and Answers are prepared by our highly skilled subject experts. 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