Advertisements
Advertisements
Question
Find the length of diagonal of the square whose side is 8 cm.
Advertisements
Solution

Length of the Diagonal `sqrt2 xx "side"`
`⇒ sqrt 2xx8`
⇒ `8sqrt2`cm
APPEARS IN
RELATED QUESTIONS
In triangle ABC, ∠C=90°. Let BC= a, CA= b, AB= c and let 'p' be the length of the perpendicular from 'C' on AB, prove that:
1. cp = ab
2. `1/p^2=1/a^2+1/b^2`
In the given figure, ∆ABC is an obtuse triangle, obtuse-angled at B. If AD ⊥ CB (produced) prove that AC2 = AB2 + BC2 + 2BC · BD.

In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.
Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides.
Nazima is fly fishing in a stream. The tip of her fishing rod is 1.8 m above the surface of the water and the fly at the end of the string rests on the water 3.6 m away and 2.4 m from a point directly under the tip of the rod. Assuming that her string (from the tip of her rod to the fly) is taut, ho much string does she have out (see Figure)? If she pulls in the string at the rate of 5 cm per second, what will be the horizontal distance of the fly from her after 12 seconds?

ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.
A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.
For finding AB and BC with the help of information given in the figure, complete following activity.
AB = BC .......... 
∴ ∠BAC = 
∴ AB = BC =
× AC
=
× `sqrt8`
=
× `2sqrt2`
= 

In the given figure, angle BAC = 90°, AC = 400 m, and AB = 300 m. Find the length of BC.

Show that the triangle ABC is a right-angled triangle; if: AB = 9 cm, BC = 40 cm and AC = 41 cm
Calculate the area of a right-angled triangle whose hypotenuse is 65cm and one side is 16cm.
PQR is an isosceles triangle with PQ = PR = 10 cm and QR = 12 cm. Find the length of the perpendicular from P to QR.
A man goes 18 m due east and then 24 m due north. Find the distance of his current position from the starting point?
If length of sides of a triangle are a, b, c and a2 + b2 = c2, then which type of triangle it is?
Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is ______.
The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground then the actual height of the tree is ______.
The perimeter of the rectangle whose length is 60 cm and a diagonal is 61 cm is ______.
In a right-angled triangle ABC, if angle B = 90°, BC = 3 cm and AC = 5 cm, then the length of side AB is ______.
Two rectangles are congruent, if they have same ______ and ______.
In a triangle, sum of squares of two sides is equal to the square of the third side.
