Question

The parpendicular length of a right triangle whose hypotenuse is 15 cm and baseis 12cm

Answer 1

Answer:

by pythagorus theorem,

15^2 = 12^2 + a^2

225 = 144 + a^2

225-144 = a^2

81 = a^2

therefore,

a = 9

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Answer 2

Answer:

9 is the length of perpendicular.

Step-by-step explanation:

Given:

Length of Base = 12 cm

Length of Hypotenuse = 15 cm

To Find:

Length of Perpendicular

Solution:

We will solve this problem through Pythagoras Theorem.

We know that,

Base² + Perpendicular² = Hypotenuse²

Let Perpendicular² be 'x',

12² cm + x² = 15² cm

144 cm + x² = 225 cm (Since 12 × 12 (or 12²) = 144 and 15 × 15 (or 15²) = 225)

x² = 225 cm - 144 cm

x² = 81 cm

x = √81 cm

x = 9 cm

Perpendicular = 9 cm

Hence, the perpendicular length of  a right triangle whose hypotenuse is 15 cm and base is 12 cm is 9 cm.