Question

Given a right triangle with legs 4 and 9 find the length of the hypotenuse

Answer 1

Explanation:

By Pythagoras Theorem

(Hyp)² = (base)² + (height)²

(Hyp)² = (4)² + (9)²

(Hyp)² = 16 + 81

(Hyp)² = 97

Hyp = √97

Answer 2

`\huge\boxed{\sf H=9.85}`

Explanation:

Given that,

Base = 4

Perpendicular = 9

Using Pythagoras Theorem to find the hypotenuse.

Which is:

`(Hypotenuse)^2=(Base)^2+(Perpendicular)^2`

So,

`(H)^2=(4)^2+(9)^2\\\\H^2 = 16 + 81\\\\H^2=97\\\\Take \ square \ root \ on \ both \ sides\\\\√(H^2) =√(97) \\\\H=9.85\\\\\rule[225]{225}{2}`