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
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 = 1.6 cm, b = 3.8 cm and c = 4 cm
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.
In a ΔABC, AB = BC = CA = 2a and AD ⊥ BC. Prove that
(i) AD = a`sqrt3`
(ii) Area (ΔABC) = `sqrt3` a2
The lengths of the diagonals of a rhombus are 24 cm and 10 cm. Find each side of the rhombus.
Calculate the height of an equilateral triangle each of whose sides measures 12 cm.
In a right ∆ABC right-angled at C, if D is the mid-point of BC, prove that BC2 = 4(AD2 − AC2).
In an equilateral ΔABC, AD ⊥ BC, prove that AD2 = 3BD2.
∆ABD is a right triangle right-angled at A and AC ⊥ BD. Show that
(i) AB2 = BC x BD
(ii) AC2 = BC x DC
(iii) AD2 = BD x CD
(iv) `"AB"^2/"AC"^2="BD"/"DC"`
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.
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.
In an equilateral triangle with side a, prove that area = `sqrt3/4` 𝑎2
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 ______.
