Question

Use the pythagorean theorem to find the value of a.​

Answer 1

pythagoras theorem formula

h^2=p^2+b^2

here hypotenuse is 13

you can take a as either perpendicular or base

lets take it base

h^2=p^2+b^2

(13)^2=(12)^2+(a)^2

169=144+a^2

169-144=a^2

25=a^2

`√(25)`=a

5=a

Explanation:

Answer 2

a = 5

Explanation:

Using Pythagoras' theorem in the right triangle

a² + 12² = 13²

a² + 144 = 169 ( subtract 144 from both sides )

a² = 25 ( take the square root of both sides )

a =
`√(25)` = 5