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Aptitude · Q71

Mensuration 2d

Competitive Exams · Aptitude · question 71

Q71

The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. If the length of its diagonal be 26 cm, the length of the other diagonal will be:

A.
5 cm
Answer
B.
10 cm
C.
6.5 cm
D.
26 cm

Answer: Option A

Solution

Answer: Option A
Solution:
Mensuration 2D mcq question image
(∴ Rhombus is a parallelogram ∴ area of Rhombus = base × height)
Area of Rhombus
= base × height
= 6.5 × 10
= 65 cm2
Also area of Rhombus = × d1 × d2
× 26 × d2 = 65
⇒ 13 × d2 = 65
⇒ d2 = 5 cm