Math, asked by vaishnavityagi086, 1 month ago

in a right triangle ABC angle b =90degree if AC = 26 cm BC = 10 cm find AB​

Answers

Answered by Anonymous
15

Given :

In a right triangle,

ㅤㅤ❍ ∠ABC = 90 degree

ㅤㅤ❍ AC = 26 cm

ㅤㅤ❍ BC = 10 cm

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To Find :

ㅤㅤ❍ The length of AB.

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Solution :

Here's given that in a △ABC, ∠ABC = 90°. So, AC is the hypotenuse. Also, Length of AC is 26cm and BC 10 cm. Now we can easily find out the length of AB, by Pythagoras' theorem.

Let's solve it!!

Let

  • Length of AC be ‘c’.
  • Length of AB be ‘a’.
  • Length of BC be ‘b’.

Now,

➺ c² = a² + b²

➺ 26² = a² + 10²

➺ 676 = a² + 100

➺ 676 - 100 = a²

➺ a = √576

➺ a = 24

Hence, AB = 24cm.

Answered by ansivaparvathi993
0

Step-by-step explanation:By Using Pythagoeres theorem,in a right angle trianglea^2= 26^2-10^2=676-100

=576

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