Question

Find the value of X in the triangle shown in the image

Answer 1

C
`\displaystyle x = 15`

Step-by-step Step-by-step explanation:

Use the Pythagorean Theorem to define the hypotenuse:

`\displaystyle a^2 + b^2 = c^2 \\ \\ 12^2 + 9^2 = x^2 \hookrightarrow 144 + 81 = x^2 \hookrightarrow √(225) = √(x^2) \\ \\ \boxed{15 = x}`

I am joyous to assist you at any time.

Answer 2

`\huge \underline\text{ Hello There}`

`\text{We know, Pythagoras Theorem}`

`\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}`

`\text{Here, \red{Hypotenuse}= x, \red{Base}= 9, \red{Altitude}= 12}`

`\underline \text{To Find, } \text{Value of'x'}`

`\huge \underline\text \red {Solution}`

`(x) {}^(2) = (9) {}^(2) + ({12})^(2) \\ \implies (x) { }^(2) = 81 + 144 \\ \implies (x) {}^(2) = 225 \\ \implies x = √(225) \\ \implies x = 15`

`\tt{So \: The \: Value \: of'x'= 15}`

`\bold{\therefore Hypotenuse= 15}`

`\text{Correct Opt. C= x =15}`

Hope this helps