Question

In ∆ABC; AB = 5, BC = 3, AC = 4 . Is ∆ABC a right angled triangle ? If yes, which angle is of 90° ? with explanation​

Answer 1

Answer:

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Step-by-step explanation:

Given,

ABC is a right angle triangle,right angle is at B.

BC = 3cm

AC = 5cm

then, the length of side AB = ?

By Pythagoras theorem/Baudhyan theorem:In a right triangle, the length of the hypotenuse is equal to the sum of the squares of length of the other two sides.

ac² = ab² + bc²

5² = ab² + 3²

25 = ab² +9

25 - 9 = ab²

16 = ab²

ab = √16

ab = 4cm

Therefore the value of AB is 4cm.

Verification:

5² - 4² + 3²

25= 16+9

25 = 25