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
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.
A man goes 15 metres due west and then 8 metres due north. How far is he from the starting point?
Using Pythagoras theorem determine the length of AD in terms of b and c shown in Figure.
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 an isosceles triangle ABC, if AB = AC = 13 cm and the altitude from A on BC is 5 cm, find BC.
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).
In a quadrilateral ABCD, ∠B = 90°, AD2 = AB2 + BC2 + CD2, prove that ∠ACD = 90°.
∆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"`
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.
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.
The co-ordinates of the points A, B and C are (6, 3), (−3, 5) and (4, −2) respectively. P(x, y) 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, AC = `5sqrt(2)`, then what is the height of ∆ABC?

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 ______.
