Question

(GEOMETRY E2020) What is the value of X?

Answer 1

use the formula
`h^(2) =xy` so:

`x^(2) =9(16)`

`x^(2) =144`

`\sqrt{ x^(2) } = √(144)`

`x=12`

Answer 2

Answer: The required value of x is 12.

Step-by-step explanation: We are given to find he value of x fro the figure shown.

We note from the figure that

triangle RSQ is aright-angled one, where

∠SRQ=90°, ST = 9, QT = 16 and RT is the altitude drawn to the hypotenuse SQ.

We know that

if an altitude is drawn from the right-angle of a right-angled triangle to the hypotenuse, then the square of the altitude is equal to the product of the two segments of the hypotenuse.

So, in the given right-angled triangle RSQ, we get

`RT^2=ST * TQ\\\\\Rightarrow x^2=9* 16\\\\\Rightarrow x^2=144\\\\\Rightarrow x=\pm√(144)\\\\\Rightarrow x=\pm 12.`

Since length of a side cannot be negative, so x = 12.

Thus, the required value of x is 12.