Question

Find the perimeter of the following figure.​

Answer 1

Step-by-step explanation:

As per Pythagoras theorem

$h {}^{2} = p { }^{2} + b {}^{2}$

Derived formulas

$p {}^{2} = h {}^{2} - b {}^{2}$

$b {}^{2} = h {}^{2} - p {}^{2}$

In ∆

b² = h² - b²

b² = (20)² – (12)²

b² = 400 – 144

b² = 256

•°• b = √255

•°• b = 16 cm.

In ∆

h²= b² + p²

h²= (15)² + (20)²

h²= 225 + 400

h²= 625

•°• h = √625

•°•h = 25 cm.