Advertisements
Advertisements
प्रश्न
The length of the diagonals of rhombus are 24cm and 10cm. Find each side of the rhombus.
Advertisements
उत्तर
It is given that the diagonals of a rhombus are of length 14cm and 10cm respectively
∴ d1 = 24cm, d2 = 10cm
The diagonals of a rhombus bisect each other
∴ `("d"_1/2)^2 + ("d"_2/2)^2` = side2
⇒ side2
= 122 + 52
= 144 + 25
= 132
⇒ Side = 13
Thus, each side of the rhombus is of length 13cm.
APPEARS IN
संबंधित प्रश्न
The perpendicular AD on the base BC of a ∆ABC intersects BC at D so that DB = 3 CD. Prove that `2"AB"^2 = 2"AC"^2 + "BC"^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
In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AB2 = BC × BD
Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.
In ∆ABC, seg AD ⊥ seg BC, DB = 3CD.
Prove that: 2AB2 = 2AC2 + BC2
In equilateral Δ ABC, AD ⊥ BC and BC = x cm. Find, in terms of x, the length of AD.
In the following figure, OP, OQ, and OR are drawn perpendiculars to the sides BC, CA and AB respectively of triangle ABC.
Prove that: AR2 + BP2 + CQ2 = AQ2 + CP2 + BR2
O is any point inside a rectangle ABCD.
Prove that: OB2 + OD2 = OC2 + OA2.
If P and Q are the points on side CA and CB respectively of ΔABC, right angled at C, prove that (AQ2 + BP2 ) = (AB2 + PQ2)
In the given figure, BL and CM are medians of a ∆ABC right-angled at A. Prove that 4 (BL2 + CM2) = 5 BC2.
Triangle ABC is right-angled at vertex A. Calculate the length of BC, if AB = 18 cm and AC = 24 cm.
Use the information given in the figure to find the length AD.
In the right-angled ∆PQR, ∠ P = 90°. If l(PQ) = 24 cm and l(PR) = 10 cm, find the length of seg QR.
Find the length of the perpendicular of a triangle whose base is 5cm and the hypotenuse is 13cm. Also, find its area.
From a point O in the interior of aΔABC, perpendicular OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove that: AF2 + BD2 + CE2 = AE2 + CD2 + BF2
Find the unknown side in the following triangles
Find the unknown side in the following triangles
Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer.
A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then find the distance by which the top of the ladder would slide upwards on the wall.
If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.
