Question

In the triangle ABC, Angle BAC = 90°, AD is perpendicular to BC, AB = 15 cm and BD = 9 cm, then the length of DC



pls attach solution​

Answer 1

Answer:

In the triangle ABC, Angle BAC = 90°, AD is perpendicular to BC, AB = 15 cm and BD = 9 cm, then the length of DC

Answer 2

Answer:

The length of DC is 16 cm

Step-by-step explanation:

As per the data given in the question we have to find the length of DC.

As per the question it is given that triangle ABC, Angle BAC = 90°, AD is perpendicular to BC, AB = 15 cm and BD = 9 cm.

Take triangle ABC is a right triangle.

In triangle ABC

∠ABC = ∠ABD

∠BAC = ∠BDA

So, ΔBAC similar to Δ BDA (By Angle-Angle similarities)

Let us assume that DC=x cm

$\frac{BA}{BD}$ = $\frac{BC}{BA}$

⇒$\frac{15}{9}$ = $\frac{9+x}{15}$

⇒9(9+x) = 225

⇒9+x = 25

⇒x = 16 cm = DC

Hence, the length of DC is 16 cm

For such type of questions:

https://brainly.in/question/54360367

#SPJ3