Advertisements
Advertisements
Question
Find the side and perimeter of a square whose diagonal is `13sqrt2` cm.
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
APPEARS IN
RELATED QUESTIONS
The sides of triangle is given below. Determine it is right triangle or not.
a = 8 cm, b = 10 cm and c = 6 cm
A ladder 17 m long reaches a window of a building 15 m above the ground. Find the distance of the foot of the ladder from the building.
Using Pythagoras theorem determine the length of AD in terms of b and c shown in Figure.
A triangle has sides 5 cm, 12 cm and 13 cm. Find the length to one decimal place, of the perpendicular from the opposite vertex to the side whose length is 13 cm.
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.
In right-angled triangle ABC in which ∠C = 90°, if D is the mid-point of BC, prove that AB2 = 4AD2 − 3AC2.
In the given figure, ∠B < 90° and segment AD ⊥ BC, show that
(i) b2 = h2 + a2 + x2 - 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°.
In an equilateral ΔABC, AD ⊥ BC, prove that AD2 = 3BD2.
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.
ΔABC~ΔDEF such that ar(ΔABC) = 64 cm2 and ar(ΔDEF) = `169cm^2`. If BC = 4cm, find EF.
In an equilateral triangle with side a, prove that area = `sqrt3/4` 𝑎2
Find the length of each side of a rhombus whose diagonals are 24cm and 10cm long.
Find the diagonal of a rectangle whose length is 16 cm and area is 192 sq.cm ?
Find the height of an equilateral triangle having side 4 cm?
A girl walks 200m towards East and then 150m towards North. The distance of the girl from the starting point is ______.
In the given figure, ΔPQR is a right triangle right angled at Q. If PQ = 4 cm and PR = 8 cm, then P is ______.
