# In the figure given identify the congruent and/or similar triangles and find the value of x and y?

##### 1 Answer

Mar 17, 2018

See explanation.

#### Explanation:

From the information about side lengths we can see that all angles are right angled and isosceles. we can say that:

#DEF# and#BST# are similar to#DBC# (all 3 triangles have identical angles).

Now we know that:

#DEF# is congruent to#BST# (corresponding sides are equal)

To calculate

#|BD|^2+|CD|^2=|BC|^2#

Now w euse the Pythagorean theorem for