Question

What is the length of the missing leg? If necessary, round to the nearest tenth.

Answer 1

Applying Pythagorean theorem

`\\ \sf\longmapsto a^2=13^2-12^2`

`\\ \sf\longmapsto a^2=169-144`

`\\ \sf\longmapsto a^2=25`

`\\ \sf\longmapsto a=√(25)`

`\\ \sf\longmapsto a=5cm`

Answer 2

5cm

Explanation:

To find the missing side we use the hypotenuse theorem.

a^2 + b^2 = c^2

The longest side of the triangle would be c. So substitute the numbers into the variables.

a^2 + 12^2 = 13^2

a^2 = 13^2 - 12^2

a^2 = 169 - 144

a^2= 25

a = √25

a=5

The missing leg's length is 5cm