CBSE Class 7 Mathematics Triangles and Its Properties Assignment Set 10

Question. Name the \(\Delta\) in which two altitudes are the sides of the \(\Delta\)
Answer: Right angle \(\Delta\)

Question. Name the \(\Delta\) in which the altitudes and medians are same.
Answer: Equilateral \(\Delta\)

Question. Name the \(\Delta\) in which the altitude falls outside the \(\Delta\) and median falls inside the \(\Delta\).
Answer: Obtuse angled \(\Delta\)

Question. Is there any \(\Delta\) in which the median will fall outside the \(\Delta\).
Answer: No

Question. The measurement of two angles of a \(\Delta\) are
(i) \(68^\circ\) and \(72^\circ\)
(ii) \(70^\circ\) and \(62^\circ\)
Find 3rd angle of the \(\Delta\)
Answer: (i) \(40^\circ\), (ii) \(48^\circ\)

Question. The angles of a \(\Delta\) are in the ratio \(1:3:5\). Find each angle
Answer: \(20^\circ\), \(60^\circ\), \(100^\circ\)

Question. The acute angles of a right triangle are in the ratio \(2:1\) Find the angles.
Answer: \(30^\circ\), \(60^\circ\), \(90^\circ\)

Question. Find the sum of exterior angles of any \(\Delta\) of your choice. Also calculate the sum of its interior angles.
Answer: \(360^\circ\), \(180^\circ\)

Question. An exterior angle of a \(\Delta\) is \(125^\circ\) and one of its interior angle is \(65^\circ\). Find the remaining two angles.
Answer: \(55^\circ\), \(60^\circ\)

Question. One of the acute angle of a right \(\Delta\) is \(48^\circ\). Find the other acute angle.
Answer: \(42^\circ\)