What is the value of x in the figure below? In this diagram, triangle ABD- triangle CAD .

The value of x in the figure showing triangles ABD & triangle CAD is;

x = √39

From the given figure showing the triangles, we can say that there are 2 congruent triangles. This is because we are told that ΔABD ≅ ΔCAD and the symbol ≅ means congruent.

Now, corresponding sides of 2 congruent triangles usually have same ratio.

Using this concept of congruent triangles, to write the ratio of corresponding sides, we have;

BD/AD = AD/DC

Thus; 3/x = x/13

cross multiply to get;

x² = 13 × 3

x² = 39

take square roots of both sides to get;

x = √39

Read more at; link

D

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

= , substitute values

= ( cross- multiply )

x² = 39 ( take the square root of both sides )

x = → D

I think it would be 24 by 15 units