English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops? - Mathematics

Advertisements
Advertisements

Question

Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

Options

  • 13 m

  • 14 m

  • 15 m

  • 12.8 m

MCQ
Advertisements

Solution

13 m

Explanation;

Hint:

AC2 = AE2 + EC.....(Distance between the two tops)

= 52 + 122

= 25 + 144

= 169

AC = `sqrt(169)` = 13 cm

shaalaa.com
Converse of Pythagoras Theorem
  Is there an error in this question or solution?
Chapter 4: Geometry - Exercise 4.5 [Page 199]

APPEARS IN

Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 4 Geometry
Exercise 4.5 | Q 9 | Page 199

RELATED QUESTIONS

Sides of the triangle are 7 cm, 24 cm, and 25 cm. Determine whether the triangle is a right-angled triangle or not. 


The hypotenuse of a right triangle is 6 m more than twice of the shortest side. If the third side is 2 m less than the hypotenuse, find the sides of the triangle


Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem

8, 15, 17


Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem

12, 13, 15


Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem

30, 40, 50


The area of a rectangle of length 21 cm and diagonal 29 cm is __________


Choose the correct alternative:

In right angled triangle, if sum of the squares of the sides of right angle is 169, then what is the length of the hypotenuse?


In ∆LMN, l = 5, m = 13, n = 12 then complete the activity to show that whether the given triangle is right angled triangle or not.
*(l, m, n are opposite sides of ∠L, ∠M, ∠N respectively)

Activity: In ∆LMN, l = 5, m = 13, n = `square`

∴ l2 = `square`, m2 = 169, n2 = 144.

∴ l2 + n2 = 25 + 144 = `square`

∴ `square` + l2 = m2

∴By Converse of Pythagoras theorem, ∆LMN is right angled triangle.


In the given figure, triangle PQR is right-angled at Q. S is the mid-point of side QR. Prove that QR2 = 4(PS2 – PQ2).


In a right angled triangle, right-angled at B, lengths of sides AB and AC are 5 cm and 13 cm, respectively. What will be the length of side BC?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×