Question

IN THE GIVEN FIGURE , FIND THE LENGTH AC
AND REMEMBER
WHOEVER WILL GIVE CORRECT ANSWER
I WILL FOLLOW THEM AND BRAINLIEST THEM
WHOEVER WILL NOT
I WILL REPORT THEM

Answer 1

Answer:

21 cm

Step-by-step explanation:

From the given diagram, AC = AD + DC

Now, we can find AD and DC by using the Pythagorean theorem on right triangles ADB and CDB respectively, as follows:

In ΔADB, square of the hypotenuse = sum of the squares of the legs

i.e. $AB^2= AD^2 + BD^2$

⇒ $10^2 = AD^2 + 8^2$

⇒ 100 = $AD^2 + 64$

⇒ $AD^2 = 36$

⇒ AD = 6 cm

In ΔCDB, square of the hypotenuse = sum of the squares of the legs

i.e. $BC^2 = CD^2 + BD^ 2$

⇒$17^2 = CD^2 + 8^2$

⇒ $289 = CD^2 + 64$

⇒ $CD^2 = 225$

⇒ CD = 15 cm

Finally, AC = AD + CD = 6 cm + 15 cm = 21 cm

Answer 2

${\huge{\boxed{ \huge{ \boxed{\bf{\underline{ \underline{ \blue{ \bigstar{Answer}{ \bigstar}}}}}}}}}}$

$\boxed {\large{\pink{\bf {AC = 21}}}}$

Step-by-step explanation:

Firstly In order to solve this question, you should know about Pythagoras Therom.

Pythagoras Therom

• Pythagoras Theorem states that :-

• Hypotenuse² = Base² + Altitude²

♤__________________♤

$\huge \boxed { \underline{ \blue{ \bf{To \: Find }}}}$

• AC

$\huge \boxed { \underline{ \blue{ \bf{SolutioN}}}}$

Given measures are :-

• AB = 10cm

• BD = 8cm

• BC = 17cm

Inorder to find AC we have to first find AD and then we have to find DC using pythagoras Therom and add both of them.

First let us find AD

Given in the Triangle ABD

• AB = 10cm [Hypotenuse]

• BD = 8cm [Altitude]

Now use Pythagoras Therom to find AD

• Hypotenuse² = Base² + Altitude²

Here we have to find base

• Base²= Hypotenuse²- Altitude²

• Base² = 10² - 8²

• Base² = 100 - 64

• Base² = 36

• Base = √36

• Base = 6cm

AD = 6cm

Now, Let us find DC

Given in the Triangle BDC

• BD = 8cm [Altitude]

• BC = 17cm [Hypotenuse]

Now use pythagoras Therom to find DC

Hypotenuse² = Base² + Altitude²

Here we have to find Base

• Base² = Hypotenuse² - Altitude²

• Base² = 17² - 8²

• Base² = 289 - 64

• Base² = 225

• Base = √225

• Base = 15cm

• DC = 15cm

Finally AC = AD + DC

AC = 6 + 15

AC = 21cm