Advertisements
Advertisements
प्रश्न
Find the side and perimeter of a square whose diagonal is `13sqrt2` cm.
Advertisements
उत्तर
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
संबंधित प्रश्न
The sides of triangle is given below. Determine it is right triangle or not.
a = 9 cm, b = l6 cm and c = 18 cm
Using Pythagoras theorem determine the length of AD in terms of b and c shown in Figure.
The lengths of the diagonals of a rhombus are 24 cm and 10 cm. Find each side of the rhombus.
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 ∆ABC, ∠A is obtuse, PB ⊥ AC and QC ⊥ AB. Prove that:
(i) AB ✕ AQ = AC ✕ AP
(ii) BC2 = (AC ✕ CP + AB ✕ BQ)
In a right ∆ABC right-angled at C, if D is the mid-point of BC, prove that BC2 = 4(AD2 − AC2).
In a quadrilateral ABCD, ∠B = 90°, AD2 = AB2 + BC2 + CD2, prove that ∠ACD = 90°.
An aeroplane leaves an airport and flies due north at a speed of 1000km/hr. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km/hr. How far apart will be the two planes after 1 hours?
Determine whether the triangle having sides (a − 1) cm, 2`sqrta` cm and (a + 1) cm is a right-angled
triangle.
State the converse of Pythagoras theorem.
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.
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.
A man goes 12m due south and then 35m due west. How far is he from the starting point.
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 ______.
Find the altitude of an equilateral triangle of side 8 cm.
