English
Maharashtra State BoardSSC (English Medium) 10th Standard

Find the Side and Perimeter of a Square Whose Diagonal is 13sqrt2 Cm.

Advertisements
Advertisements

Question

Find the side and perimeter of a square whose diagonal is `13sqrt2` cm. 

Sum
Advertisements

Solution

As we know diagonal of a square is `"side"sqrt2`

Here, diagnol = `13sqrt2`

By substitution,

`13sqrt2 = "sides"sqrt2`

Side(s) = `(13sqrt2)/sqrt2`

S = 13cm

Side of square is 13cm

Now, perimeter of square:

P = 4×side(s)

P = 4 × 13

P = 52cm

Hence, perimeter is 52cm

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (July) Set 1

APPEARS IN

RELATED QUESTIONS

Construct a triangle ABC with sides BC = 7 cm, ∠B = 45° and ∠A = 105°. Then construct a triangle whose sides are `3/4` times the corresponding sides of ∆ABC.


If the sides of a triangle are 3 cm, 4 cm, and 6 cm long, determine whether the triangle is a right-angled triangle.


The sides of triangle is given below. Determine it is right triangle or not.

a = 7 cm, b = 24 cm and c = 25 cm


A man goes 15 metres due west and then 8 metres due north. How far is he from the starting point?


The foot of a ladder is 6 m away from a wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, to what height does its tip reach?


ABCD is a square. F is the mid-point of AB. BE is one third of BC. If the area of ΔFBE = 108 cm2, find the length of AC.


Each side of a rhombus is 10 cm. If one of its diagonals is 16 cm find the length of the other diagonal.


In Figure, D is the mid-point of side BC and AE ⊥ BC. If BC = a, AC = b, AB = c, ED
= x, AD = p and AE = h, prove that:

(i) `b^2 = p^2 + ax + a^2/4`

(ii) `c^2 = p^2 - ax + a^2/4`

(iii) `b^2 + c^2 = 2p^2 + a^2/2`


In the given figure, ∠B < 90° and segment AD ⊥ BC, show that

(i) b= h+ a+ x- 2ax

(ii) b2 = a2 + c2 - 2ax


In ∆ABC, ∠A is obtuse, PB ⊥ AC and QC ⊥ AB. Prove that:

(i) AB ✕ AQ = AC ✕ AP

(ii) BC2 = (AC ✕ CP + AB ✕ BQ)


In a quadrilateral ABCD, ∠B = 90°, AD2 = AB2 + BC2 + CD2, prove that ∠ACD = 90°.


If D, E, F are the respectively the midpoints of sides BC, CA and AB of ΔABC. Find the ratio of the areas of ΔDEF and ΔABC. 


Find the length of the altitude of an equilateral triangle of side 2a cm. 


The co-ordinates of the points A, B and C are (6, 3), (−3, 5) and (4, −2) respectively. P(xy) is any point in the plane. Show that \[\frac{ar\left( ∆ PBC \right)}{ar\left( ∆ ABC \right)} = \left| \frac{x + y - 2}{7} \right|\]

 


Find the diagonal of a rectangle whose length is 16 cm and area is 192 sq.cm ?


From given figure, In ∆ABC, AB ⊥ BC, AB = BC then m∠A = ?


In the given figure, ΔPQR is a right triangle right angled at Q. If PQ = 4 cm and PR = 8 cm, then P is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×