## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 11 Triangles and its Properties Check Your Progress

Question 1.

Find the value of x in each of the following diagrams:

Solution:

Question 2.

In the given figure, ∠B = 70° and ∠A = 50°. If the bisector of ∠C meets AB in D, then find ∠ADC.

Solution:

Question 3.

Find the values of x and y in each of the following figures:

Solution:

Question 4.

If the two acute angles of a right-angled triangle are in the ratio 7 : 8, find these angles.

Solution:

Question 5.

If the angles of a triangle are (3x)°, (2x – 7)° and (4x – 11)°, then find the value of x.

Solution:

Question 6.

In an isosceles triangle, the vertical angle is 15° greater than each of its base angles. Find all the angles of the triangle.

Solution:

Question 7.

Can a triangle have three sides whose lengths are

(i) 4.5 cm, 3.8 cm, 7.2 cm?

(ii) 3.2 cm, 5.3 cm, 9.4 cm?

Solution:

Question 8.

If the lengths of two sides of a triangle are 5 cm and 12 cm, then what can be the length of the third side?

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Question 9.

In the given figure, all measurements are in centimeters. If AD is perpendicular to BC, find the length of AB.

Solution:

Question 10.

In the given figure, AB and CD are two vertical poles of height 19 m and 11 m respectively. If the shortest distance between their tops is 17 m, find how far apart they are?

Solution: