Question

Question :

Consider the triangle ABC where m∠BCA = 90 degrees, and m∠AC = 1 and m∠BC = 1 then Find AB.

Please Solve accordingly to 8th Class!!

No SPAMS :)

Answer 1

SOLUTION :

GIVEN

Consider the triangle ABC

where m∠BCA = 90 degrees

AC = 1

BC = 1

TO DETERMINE

The length of AB

EVALUATION

It is given that in the triangle ABC , ∠BCA = 90°

So ABC is a right angled triangle with right angle at C

Now AC = 1 unit

BC = 1 unit

According to Pythagorean Theorem

$\sf{ {AB }^{2} ={ BC}^{2} + {AC}^{2} \: \: }$

$\implies\sf{ {AB }^{2} ={(1)}^{2} + {(1)}^{2} \: \: }$

$\implies\sf{ {AB }^{2} = 1 + 1\: \: }$

$\implies\sf{ {AB }^{2} = 2 \: \: }$

$\implies\sf{ {AB } = \sqrt{2} \: \: }$

FINAL ANSWER

$\sf{ The \: length \: of \: AB = \: \: \sqrt{2} \: \: \: unit }$

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LEARN MORE FROM BRAINLY

The angles of the triangle are 3x–40, x+20 and 2x–10 then the value of x is

(a) 40 (b) 35 (c) 50 (d) 45

https://brainly.in/question/4194032

Answer 2

Step-by-step explanation:

Hey mate your answer is √2 ....

by Pythagoras theorm

AB^2=BC^+CA^2

AB^2 = (1)^2 + (1)^2

AB^2 = 2

AB=√2