Question

С C
In figure 11.21, one pair of adjacent sides of
a parallelogram is in the ratio 3 : 4. If one of
its angles, ZA is a right angle and diagonal
BD = 10 cm, find the-
3x
A
B
(i) lengths of the sides of the parallelogram.
4x
Fig. 11.21
(ii) perimeter of the parallelogram.​

Answer 1

Answer:

$\huge\red{A}\pink{N}\orange{S}\green{W}\blue{e}\gray{R} \:$

i ) length of the sides of the parallelogram

Solution → taking ∆ABD

AD = 3x , AB = 4x

& DAB = 90°

BY USING PYTHAGORAS THEOREM

AD² + AB² = BD ²

(3x)² + (4x)² = (10)²

9² + 16² = 100

25x² = 100

${x}^{2} = \frac{100}{25}$

x² = 4

x² = (2)²

x = 2

By the property of parallelogram opposite sides are equal

i.e AD = BC = 3x & AD = CD = 4x

AD = BC = 3 × 2 = 6 cm & AD = CD = 4 × 2 = 8 cm

ii) perimeter of the parallelogram

SOLUTION → Perimeter of parallelogram = AB + BC = CD + DA

= 8 + 6 + 8 + 6

= 28 cm

Step-by-step explanation:

i hope it helps you :)

#be brainly