Math, asked by Anonymous, 8 months ago

$<marquee behaviour-move><font color="red pink"><h1>QUESTION</ ht></marquee>$
$<Body bgcolor="blue"><Font Color="grey">$ In a right triangle ABC, ∠B = 90
a. If AC =13 cm, BC = 5 cm, find AB.

Answers

Answered by Anonymous

194

$<marquee behaviour-move><font color="red pink"><h1>ANSWER</ ht></marquee>$

According to Pythagoras theorem .

We have $Hypotenuse^2\: =\: 1st \:Side^2 \:+ 2nd\: Side^2$ .

So applying the theorem we get $AC^2\:=AB^2\:+\:BC^2$ .

Filling the values $13^2\:=\: AB^2\:+\:5^2$ .

We get 169 = $AB^2$ + 25 .

Changing the side we get 169 - 25 = AB square .

Result => 144 = AB square

Solution is therefore 12 cm = AB

Answered by srijita689

Step-by-step explanation:

∆ABC is a right triangle.

<B = 90°

AC = 13 cm.

BC = 5cm.

Find: AB

Solution:

We know that by Pythagoras theorem;

AC ² = AB² + BC²

= 13² = AB² + 5²

= AB² = 13² - 5²

= AB ² = (13+5)(13-5)

= AB =√ 18×8= √144

= AB = 12cm(ans)..

Hence, value of AB = 12 cm..

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