Question

ΔVDG-ΔVNQ What is the value of x? Enter your answer in the box.

Answer 1

Answer:

Therefore,

$x=120\ unit$

Step-by-step explanation:

Given:

ΔVDG ~ ΔVNQ

DG = 207

NQ = 138

VG = x + 60

To Find:

VQ = x ?

Solution:

ΔVDG ~ ΔVNQ     ..........Given

If two triangles are similar then their sides are in proportion.

$\dfrac{DG}{NQ} =\dfrac{VG}{VQ} =\dfrac{VD}{VN}\ \textrm{corresponding sides of similar triangles are in proportion}$  

On substituting the given values we get

$\dfrac{DG}{NQ} =\dfrac{VG}{VQ}$

$\dfrac{207}{138} =\dfrac{x+60}{x}\\\\\dfrac{3}{2}=\dfrac{x+60}{x}$

$3x=2x+120\\3x-2x=120\\x=120\ unit$

Therefore,

$x=120\ unit$