Triangles and Types of Triangles – Maharashtra Board Class 6 Solutions for Mathematics

Triangles and Types of Triangles – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)

MathematicsGeneral ScienceMaharashtra Board Solutions

Exercise-74

Solution 1:

1. Exterior angles of the triangle are ∠AXY, ∠BXZ, ∠CZX, ∠DZY, ∠FYZ, and ∠EYX.
2. Angles which are neither angles of the triangle nor its exterior angles are ∠AXB, ∠EYF, and ∠CZD.

Solution 2:

1. ∠DPQ and ∠LPR.
2. ∠PRM and ∠QRN.
3. No, because ∠SQT does not form a linear pair with any angle of ΔPQR.
4. ∠PQR.

Solution 3:

A triangle has 6 exterior angles in all.

Solution 4:

Points in the interior of the ΔXYZ	Points on the ΔXYZ	Points in the exterior of the ΔXYZ
Points M and N	Points L and O	Points T and K

Solution 5:

1. ΔABC, ΔABO, ΔACO, ΔBOC
2. ΔOAC, ΔOAB, ΔOBC
3. ΔAOB, ΔAOC, ΔABC

Solution 6:

Solution 7:

1. ΔPQR, ΔPQT, ΔPRS, ΔPST
2. ΔPST, ΔPSR, ΔPTR
3. ΔPSQ, ΔPST
4. ΔPTS, ΔPTQ
5. ΔPQT, ΔPQR
6. ΔPST, ΔPSR
7. Points Y and Z
8. Point U
9. ∠PSQ and ∠PTR
10. ΔPQS, ΔPQT, ΔPQR
11. ΔPQR, ΔPSR, ΔPTR
12. Points Y, E, U, Z, Q, R

Exercise-75

Solution 1:

Fig.1: A right angled triangle.
Fig.2: An isosceles triangle.
Fig.3: An obtuse angled triangle.
Fig.4: An acute angled triangle.
Fig.5: An equilateral triangle.
Fig.6: An obtuse angled triangle.

Solution 2:

1. ΔABC is an acute angled triangle.
2. ΔRST is an isosceles triangle.
3. ΔLMN is a right angled triangle.
4. ΔSDO is an obtuse angled triangle.
5. ΔRTO is an equilateral triangle.
6. ΔDEF is a scalene triangle.