Question

Find the missing side of each triangle

Answer 1

Given :

• Hypotenuse (H) = 15 in

• Base (B) = 12 in

To calculate :

• Perpendicular (P) [x]

Calculation :

By using pythagoras property,

`\longmapsto \sf { H^2 =B^2 + P^2 }`

`\longmapsto \sf { (15)^2 =(12)^2 +(x)^2 }`

`\longmapsto \sf { x^2 = (15)^2 - (12)^2 }`

`\longmapsto \sf { x^2 = 225 - 144 }`

`\longmapsto \sf { x^2 = 81 }`

`\longmapsto \sf { x = √(81) }`

`\longmapsto \sf \red { x = 9 \: in}`

So, the value of x (perpendicular) is 9 in.