Question

21.
In shown figure, find x.
x cm
18 cm
are
B
16 cm
8cm-
(1) 9
(2) 18
(4) 27
(3) 24​

Answer 1

Answer:

27cm

Step-by-step explanation:

by applying similar triangles

property

Answer 2

x = 27 cm

Given: Triangle ABC

To Find: The value of x

Solution: By triangle property:

BD/BA = BE/BC

Since, BD = 18cm, BA= x cm, BE= 16cm

BC = BE + EC

BC = 16 + 8

$\frac{18}{x} = \frac{16}{(16 + 8)}$

$\frac{18}{x} = \frac{16}{24}$ (Since, 16 + 8 = 24)

By cross multiplication of LHS and RHS:

18 × 24 = 16 × x

432 = 16 × x

Now, taking 16 to the RHS for division:

$x = \frac{432}{16}$

x = 27 cm

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