Question

Find the value of x​

Answer 1

Answer:

The value of x is 4 .

Step-by-step explanation:

Given as :

The two triangle is as

Let The smaller triangle = DEC

Let The larger triangle = ABC

The measure of side EC = a

The measure of side BC = x

∵ side BC = side EC         (as both sides of triangle are equal)

So, x = a + a

i.e x = 2 a

From the figure shown it is clear that both triangles are similar

So, the ratio of triangles are equal

i.e $\frac{measure of side BC}{measure of side EC}$ = $\frac{14}{3 x-5}$

or, $\frac{x}{a}$ = $\frac{14}{3 x-5}$

Or, $\frac{2 a}{a}$ = $\frac{14}{3 x-5}$

Or,  3 x - 5 = 7

Or, 3 x = 7 + 5

Or, 3 x = 12

∴ x = $\frac{12}{3}$

i.e x = 4

Hence, The value of x is 4 . Answer