Question

In right angle triangle ABC, Angle B= 90, AB= 12 and BC = 16 then find the length of AC.​

Answer 1

Answer:

Ac=20 cm

Step-by-step explanation:

Given,

∠b = 90°

ab = 12 cm

bc = 16 cm

To find, length of the side ac

Here, ac is the hypotenuse.

According to the Pythagoras theorem, the length of the hypotenuse is the longest in a right-angled triangle.

Hypotenuse² = Perpendicular Height² + Base height²

Here, Hypotenuse = ac

Perpendicular Height = ab

Base height = bc

Applying the formula:

ac² = ab² + bc²

ac² = 12²  + 16²

ac² = 144 + 256

ac² = 400

ac =

ac =

∴ ac = 20 cm

Learn more:

How to find hypotenuse​

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Answer 2

Answer:

As an angle is 90°so it is a right angled triangle.

Step-by-step explanation:

So by using Pythagoras theorem ,

(AC)^2=(AB)^2+(BC)^2

(AC)^2=(12)^2+(16)^2

(AC)^2=144+256

(AC)^2=400

AC=√400

AC=20cm