Points A and B are on the opposite edges of a pond as shown in Fig. 6.56. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.
Solution:
Given, the points A and B are on the opposite edges of a pond.
We have to find the distance AB in the given right angled triangle.
ACD is a right angled triangle
AC² = AD² + CD²
AC² = 30² + 40²
AC² = 900 + 1600
AC² = 2500
Taking square root,
AC = 50 m
From the figure,
AC = AB + BC
50 = AB + 12
AB = 50 - 12
AB = 38 m
Therefore, the required distance is 38 m.
✦ Try This: Find the length of the hypotenuse in a right angled triangle if the sum of the squares of the sides making right angle is 169.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 155
Points A and B are on the opposite edges of a pond as shown in Fig. 6.56. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.
Summary:
Points A and B are on the opposite edges of a pond as shown in Fig. 6.56. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. The distance AB is 38 m.
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