Advertisements
Advertisements
प्रश्न
Find the side of the square whose diagonal is `16sqrt(2)` cm.
Advertisements
उत्तर
Let the side of square be a
Diagonal of a square is given by `"a"sqrt(2)`
∴ `"a"sqrt(2)` = `16sqrt(2)` cm
∴ a = 16 cm
Therefore the side of the square whose diagonal is `16sqrt(2)` cm is 16 cm
APPEARS IN
संबंधित प्रश्न
From a point O in the interior of a ∆ABC, perpendicular OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove
that :
`(i) AF^2 + BD^2 + CE^2 = OA^2 + OB^2 + OC^2 – OD^2 – OE^2 – OF^2`
`(ii) AF^2 + BD^2 + CE^2 = AE^2 + CD^2 + BF^2`
ABC is a right triangle right-angled at C. Let BC = a, CA = b, AB = c and let p be the length of perpendicular from C on AB, prove that
(i) cp = ab
`(ii) 1/p^2=1/a^2+1/b^2`
Sides of triangle are given below. Determine it is a right triangle or not? In case of a right triangle, write the length of its hypotenuse. 13 cm, 12 cm, 5 cm
ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2
In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:

`"AC"^2 = "AD"^2 + "BC"."DM" + (("BC")/2)^2`
Identify, with reason, if the following is a Pythagorean triplet.
(3, 5, 4)
In ∆PQR, point S is the midpoint of side QR. If PQ = 11, PR = 17, PS = 13, find QR.
Digonals of parallelogram WXYZ intersect at point O. If OY =5, find WY.
In ΔABC, Find the sides of the triangle, if:
- AB = ( x - 3 ) cm, BC = ( x + 4 ) cm and AC = ( x + 6 ) cm
- AB = x cm, BC = ( 4x + 4 ) cm and AC = ( 4x + 5) cm
In figure AB = BC and AD is perpendicular to CD.
Prove that: AC2 = 2BC. DC.
Triangle ABC is right-angled at vertex A. Calculate the length of BC, if AB = 18 cm and AC = 24 cm.
In the given figure, angle ADB = 90°, AC = AB = 26 cm and BD = DC. If the length of AD = 24 cm; find the length of BC.

A right triangle has hypotenuse p cm and one side q cm. If p - q = 1, find the length of third side of the triangle.
∆ABC is right-angled at C. If AC = 5 cm and BC = 12 cm. find the length of AB.
There are two paths that one can choose to go from Sarah’s house to James's house. One way is to take C street, and the other way requires to take B street and then A street. How much shorter is the direct path along C street?

An isosceles triangle has equal sides each 13 cm and a base 24 cm in length. Find its height
Rithika buys an LED TV which has a 25 inches screen. If its height is 7 inches, how wide is the screen? Her TV cabinet is 20 inches wide. Will the TV fit into the cabinet? Give reason
If S is a point on side PQ of a ΔPQR such that PS = QS = RS, then ______.
Two squares are congruent, if they have same ______.
Points A and B are on the opposite edges of a pond as shown in the following figure. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.

