Advertisements
Advertisements
प्रश्न
Find the side and perimeter of a square whose diagonal is `13sqrt2` cm.
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
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 = 1.6 cm, b = 3.8 cm and c = 4 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 an isosceles triangle ABC, AB = AC = 25 cm, BC = 14 cm. Calculate the altitude from A on BC.
Each side of a rhombus is 10 cm. If one of its diagonals is 16 cm find the length of the other diagonal.
In an acute-angled triangle, express a median in terms of its sides.
Calculate the height of an equilateral triangle each of whose sides measures 12 cm.
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).
∆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?
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
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, AC = `2sqrt(2)` then l (AB) = ?
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 ______.
