Advertisements
Advertisements
प्रश्न
Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.
Advertisements
उत्तर
`square`ABCD is a rectangle
`l(AB) = 35 cm`
`l(BC) = 12 cm`
Let AC be the diagonal of rectangle
as ∠A = ∠B = ∠C = ∠D = 90°
∴ In `triangle`ABC, as ∠B = 90°
∴ By using Pythagoras theorem.
`AC^2 = AB^2 + BC^2`
`AC^2 = 35^2 + 12^2`
`AC^2 = 1225 + 144`
`AC^2 =1369`
`AC =37cm`
∴ The diagonal of the rectangle is 37 cm.
संबंधित प्रश्न
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?
Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.
The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Identify, with reason, if the following is a Pythagorean triplet.
(4, 9, 12)
Identify, with reason, if the following is a Pythagorean triplet.
(24, 70, 74)
Identify, with reason, if the following is a Pythagorean triplet.
(11, 60, 61)
In the given figure, ∠B = 90°, XY || BC, AB = 12 cm, AY = 8cm and AX : XB = 1 : 2 = AY : YC.
Find the lengths of AC and BC.
In triangle ABC, AB = AC = x, BC = 10 cm and the area of the triangle is 60 cm2.
Find x.
In triangle ABC, AB = AC and BD is perpendicular to AC.
Prove that: BD2 − CD2 = 2CD × AD
In triangle ABC, angle A = 90o, CA = AB and D is the point on AB produced.
Prove that DC2 - BD2 = 2AB.AD.
In ∆ ABC, AD ⊥ BC.
Prove that AC2 = AB2 +BC2 − 2BC x BD
Triangle XYZ is right-angled at vertex Z. Calculate the length of YZ, if XY = 13 cm and XZ = 12 cm.
Find the Pythagorean triplet from among the following set of numbers.
4, 7, 8
The length of the diagonals of rhombus are 24cm and 10cm. Find each side of the rhombus.
Each side of rhombus is 10cm. If one of its diagonals is 16cm, find the length of the other diagonals.
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?
Find the unknown side in the following triangles
A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.
In the adjoining figure, a tangent is drawn to a circle of radius 4 cm and centre C, at the point S. Find the length of the tangent ST, if CT = 10 cm.
Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place?
