Question

Right angle triangle abc, b=90, if ab=12cm, bc=16cm find ac

Answer 1

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 = $\sqrt{400}$

ac = $\sqrt{20 * 20}$

∴ ac = 20 cm

Learn more:

How to find hypotenuse​

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Answer 2

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