in a right triangle ABC angle b =90degree if AC = 26 cm BC = 10 cm find AB
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Answered by
15
Given :
In a right triangle,
ㅤㅤ❍ ∠ABC = 90 degree
ㅤㅤ❍ AC = 26 cm
ㅤㅤ❍ BC = 10 cm
To Find :
ㅤㅤ❍ The length of AB.
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
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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