Question

Find the missing side of each triangle. Leave your answers in simplest radical form.

Answer 1

The missing side of the triangle is 11.66mi.

Step-by-step explanation:

Given that

A right angled triangle have

Base = 6 mi

Perpendicular = 10 mi

And, missing side = hypotenuse = x

To find

Missing side of the triangle.

Solution

Since, we have given right angled triangle so we can use Pythagoras Theorem.

Pythagoras theorem

➟ (Perpendicular)² + (Base) ² = ( Hypotenuse) ²

Substitute the values

➟ ( 10 mi )² + ( 6 mi ) ² = ( x )²

Solve it

➟100 mi² + 36 mi ² = x ²

add the values

➟136 mi ² = x²

Finding the square root of 136 mi

➟√136 mi² = x

➟11.66 mi = x

Hence , the missing side of the triangle is 11.66mi.

Answer 2

Answer:

Solution given:

p=10mi

b=6mi

h=x.

by using Pythagoras law

h²=p²+b²

x²=10²+6²

x=$\sqrt{136}=2\sqrt{34}$