{"id":602487,"date":"2022-05-14T09:04:51","date_gmt":"2022-05-14T09:04:51","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=602487"},"modified":"2022-05-17T04:43:03","modified_gmt":"2022-05-17T04:43:03","slug":"ml-aggarwal-solutions-for-class-7-maths-chapter-11-triangles-and-its-properties","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-11-triangles-and-its-properties\/","title":{"rendered":"ML Aggarwal Solutions for Class 7 Maths Chapter 11- Triangles and its Properties"},"content":{"rendered":"\n

Class 7: Maths Chapter 11 solutions. Complete Class 7 Maths Chapter 11 Notes.<\/p>\n\n\n\n

ML Aggarwal Solutions for Class 7 Maths Chapter 11- Triangles and its Properties<\/h2>\n\n\n\n

ML Aggarwal 7th Maths Chapter 11, Class 7 Maths Chapter 11 solutions<\/p>\n\n\n\n

1.  In the adjoining figure:
(i) Name the vertex opposite to side PQ.
(ii) Name the side opposite to vertex Q.
(iii) Name the angle opposite to side QR.
(iv) Name the side opposite to \u2220R<\/strong><\/p>\n\n\n\n

\"ML<\/figure>\n\n\n\n

Solution:-<\/strong><\/p>\n\n\n\n

From the figure,<\/p>\n\n\n\n

(i) R is the vertex opposite to side PQ.<\/p>\n\n\n\n

(ii) PR is the side opposite to vertex Q.<\/p>\n\n\n\n

(iii) P is the angle opposite to side QR.<\/p>\n\n\n\n

(iv) PQ is the side opposite to \u2220R.<\/p>\n\n\n\n

2. Look at the figures given below and classify each of the triangles according to its<\/strong><\/p>\n\n\n\n

(a) Sides<\/strong><\/p>\n\n\n\n

(b) Angles<\/strong><\/p>\n\n\n\n

\"ML<\/figure>\n\n\n\n

Solution:-<\/strong><\/p>\n\n\n\n

From the given figure,<\/p>\n\n\n\n

(a) According to sides,<\/p>\n\n\n\n

(i) Isosceles triangle, because two sides of triangle are equal.<\/p>\n\n\n\n

(ii) Scalene triangle, because three sides are unequal.<\/p>\n\n\n\n

(iii) Equilateral triangle, because three sides are equal.<\/p>\n\n\n\n

(iv) Isosceles triangle, because two sides of triangle are equal.<\/p>\n\n\n\n

(v) Scalene triangle, because three sides are unequal.<\/p>\n\n\n\n

(vi) Isosceles triangle, because two sides of triangle are equal.<\/p>\n\n\n\n

(b) According to angles,<\/p>\n\n\n\n

(i) Acute angle triangle, because angle of triangle less than 90o<\/sup>.<\/p>\n\n\n\n

(ii) Right angled triangle, because one of the angle is equal to 90o<\/sup>.<\/p>\n\n\n\n

(iii) Acute angle triangle, because angle of triangle less than 90o<\/sup>.<\/p>\n\n\n\n

(iv) Obtuse angle triangle, because one of the angle is more than 90o<\/sup> but less than 180o<\/sup>.<\/p>\n\n\n\n

(v) Obtuse angle triangle, because one of the angle is more than 90o<\/sup> but less than 180o<\/sup>.<\/p>\n\n\n\n

(vi) Right angled triangle, because one of the angle is equal to 90o<\/sup>.<\/p>\n\n\n\n

3. In the given \u2206PQR, if D is the mid-point of<\/strong>
\"ML, then<\/strong><\/p>\n\n\n\n

(i)<\/strong>
\"ML<\/p>\n\n\n\n

\"ML<\/figure>\n\n\n\n

Solution:-<\/strong><\/p>\n\n\n\n

From the figure,<\/p>\n\n\n\n

\u2206PQR, D is the mid-point of
\"ML<\/p>\n\n\n\n

So,<\/p>\n\n\n\n

(i)
\"MLis Altitude<\/p>\n\n\n\n

(ii)
\"MLis Median<\/p>\n\n\n\n

No, QM \u2260 MR<\/p>\n\n\n\n

4. Will an altitude always lie in the interior of triangle? If no, draw a rough sketch to show such a case.<\/strong><\/p>\n\n\n\n

Solution:-<\/strong><\/p>\n\n\n\n

No, it is not necessary an altitude may lie outside of triangle also.<\/p>\n\n\n\n

A rough sketch to show such a case,<\/p>\n\n\n\n

PS is the altitude of \u2206PQR<\/p>\n\n\n\n

Draw from P to the side QR<\/p>\n\n\n\n

\"ML<\/figure>\n\n\n\n

5. Can you think of a triangle in which two altitudes of the triangle are its sides? If yes, draw a rough sketch to show such a case.<\/strong><\/p>\n\n\n\n

Solution:-<\/strong><\/p>\n\n\n\n

Yes, it is a right angled triangle.<\/p>\n\n\n\n

\"ML<\/figure>\n\n\n\n

6. Draw rough sketches for the following:
(i) In \u0394ABC, BE is a median of the triangle.<\/strong><\/p>\n\n\n\n

Solution:-<\/strong><\/p>\n\n\n\n

As per the condition given in the question,<\/p>\n\n\n\n

\"ML<\/figure>\n\n\n\n


(ii) In \u0394PQR, PQ and PR are altitudes of the triangle.<\/strong><\/p>\n\n\n\n

Solution:-<\/strong><\/p>\n\n\n\n

As per the condition given in the question,<\/p>\n\n\n\n

\"ML<\/figure>\n\n\n\n


(iii) In \u0394XYZ, XL is an altitude in the exterior of the triangle.<\/strong><\/p>\n\n\n\n

Solution:-<\/strong><\/p>\n\n\n\n

As per the condition given in the question,<\/p>\n\n\n\n

\"ML<\/figure>\n\n\n\n

7. Take an equilateral triangle and draw its medians and altitudes and check that the medians and altitude are same.<\/strong><\/p>\n\n\n\n

Solution:-<\/strong><\/p>\n\n\n\n

Consider the equilateral triangle \u0394PQR,<\/p>\n\n\n\n

PS, QN and MR are altitudes of the triangle.<\/p>\n\n\n\n

The altitudes of an equilateral triangle divide the sides into equal parts.<\/p>\n\n\n\n

Hence, altitudes are also the medians of the triangle.<\/p>\n\n\n\n

\"ML<\/figure>\n\n\n\n

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

ML Aggarwal Solutions for Class 7 Maths Chapter 11- Triangles and its Properties<\/p>\n\n\n\n

Download PDF<\/strong>: ML Aggarwal Solutions for Class 7 Maths Chapter 11- Triangles and its Properties PDF<\/a><\/p>\n\n\n\n

Chapterwise ML Aggarwal Solutions for Class 7 Maths :<\/strong><\/h2>\n\n\n\n