This article brings you the CBSE Class 10 Mathematics chapter 6, Triangles: NCERT Exemplar Problems and Solutions (Part-IA). You will get a detailed solution for every multiple choice question form NCERT Exemplar for chapter, Triangles. These questions will prove to be very helpful while preparing for CBSE Class 10 Board Exam 2017-2018
Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Triangles:
Exercise 6.1
Multiple Choice Questions (Q. No. 1-6)
Question. 1 In figure, if ∠BAC = 90o and AD ^ BC. Then,
Answer. (c)
Explanation:
Consider the following diagram:
Question. 2 If the Lengths of the diagonals of rhombus are 16 cm and 12 cm. Then, the Length of the sides of the rhombus is
(a) 9cm
(b) 10cm
(c) 8cm
(d) 20cm
Answer. (b)
Explanation:
Given, AC = 16cm and BD = 12cm
As the diagonals of a rhombus are perpendicular bisectors of each other.
⟹ AO = 8cm, BO = 6cm and ÐAOB = 90° ….(i)
Using Pythagoras theorem in right angled ΔAOB, w have
AB2 = AO2 + OB2
⟹ AB2 = 82 + 62 [Using (i)]
⟹ AB = 10cm.
Thus length of each side of rhombus is 10 cm.
Question. 3 If DABC ~ DEDF and DABC is not similar to DDEF, then which of the following is not true?
(a) BC.EF = AC.FD
(b) AB.EF = AC.DE
(c) BC.DE = AB.EF
(d)BC.DE = AB.FD
Answer. (c)
Explanation:
Hence, option (b) is also true.
This expression shows that sides of one triangle DCAB are proportional to the sides of the other triangle DPQR and their corresponding angles are also equal.
Therefore, DPQR ~ DCAB.
Question. 5 In figure, two line segments AC and BD intersect each other at the point P such that PA = 6cm, PB = 3cm, PC = 2.5cm, PD = 5cm, ÐAPB = 50° and ÐCDP = 30°. Then, ÐPBA is equal to
Answer. (d)
Explanation:
Thus, ÐPBA = 100° verifies the option (d).
Question. 6 If in two triangles DEF and PQR, ÐD = ÐQ and ÐR = ÐE, then which of the following is not true?
Answer. (b)
Explanation:
