English
Maharashtra State BoardSSC (English Medium) 10th Standard

Find the Side of the Square Whose Diagonal is 16sqrt(2) Cm. - Geometry Mathematics 2

Advertisements
Advertisements

Question

Find the side of the square whose diagonal is `16sqrt(2)` cm.

Sum
Advertisements

Solution

Let the side of square be a

Diagonal of a square is given by `"a"sqrt(2)`

`"a"sqrt(2)` = `16sqrt(2)` cm

 a = 16 cm

Therefore the side of the square whose diagonal is `16sqrt(2)` cm is 16 cm

shaalaa.com
  Is there an error in this question or solution?
2016-2017 (July)

APPEARS IN

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

In triangle ABC, ∠C=90°. Let BC= a, CA= b, AB= c and let 'p' be the length of the perpendicular from 'C' on AB, prove that:

1. cp = ab

2. `1/p^2=1/a^2+1/b^2`


In a right triangle ABC right-angled at C, P and Q are the points on the sides CA and CB respectively, which divide these sides in the ratio 2 : 1. Prove that

`(i) 9 AQ^2 = 9 AC^2 + 4 BC^2`

`(ii) 9 BP^2 = 9 BC^2 + 4 AC^2`

`(iii) 9 (AQ^2 + BP^2 ) = 13 AB^2`


Which of the following can be the sides of a right triangle?

1.5 cm, 2 cm, 2.5 cm

In the case of right-angled triangles, identify the right angles.


In ∆PQR, point S is the midpoint of side QR. If PQ = 11, PR = 17, PS = 13, find QR.


In right angle ΔABC, if ∠B = 90°, AB = 6, BC = 8, then find AC.


If the sides of the triangle are in the ratio 1: `sqrt2`: 1, show that is a right-angled triangle.


Prove that (1 + cot A - cosec A ) (1 + tan A + sec A) = 2


In the given figure, angle BAC = 90°, AC = 400 m, and AB = 300 m. Find the length of BC.


In the right-angled ∆PQR, ∠ P = 90°. If l(PQ) = 24 cm and l(PR) = 10 cm, find the length of seg QR.


In the right-angled ∆LMN, ∠M = 90°. If l(LM) = 12 cm and l(LN) = 20 cm, find the length of seg MN.


The sides of the triangle are given below. Find out which one is the right-angled triangle?

8, 15, 17


The sides of the triangle are given below. Find out which one is the right-angled triangle?

11, 12, 15


Find the length of the perpendicular of a triangle whose base is 5cm and the hypotenuse is 13cm. Also, find its area.


A point OI in the interior of a rectangle ABCD is joined with each of the vertices A, B, C and D. Prove that  OB2 + OD2 = OC2 + OA2


The perpendicular PS on the base QR of a ∆PQR intersects QR at S, such that QS = 3 SR. Prove that 2PQ2 = 2PR2 + QR2 


Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer.


In an isosceles triangle PQR, the length of equal sides PQ and PR is 13 cm and base QR is 10 cm. Find the length of perpendicular bisector drawn from vertex P to side QR.


Two trees 7 m and 4 m high stand upright on a ground. If their bases (roots) are 4 m apart, then the distance between their tops is ______.


Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 metres × 80 metres. How much shorter is the route across the park than the route around its edges?


Height of a pole is 8 m. Find the length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×