Question

Please help me I would be so happy
Find the missing side of the triangle.

Answer 1

`\displaystyle 14 = x`

Explanation:

Use the Pythagorean Theorem to define the hypotenuse:

`\displaystyle a^2 + b^2 = c^2 \\ \\ -48^2 + 50^2 = x^2 \hookrightarrow -2304 + 2500 = x^2 \hookrightarrow √(196) = √(x^2) \\ \\ \boxed{14 = x}`

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Answer 2

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

`\text{We know, Pythagoras Theorem}`

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

`\text{Here, \red{Hypotenuse}= 50, \red{Base}= x, \red{Altitude}= 48}`

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

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

`\implies(50) {}^(2) = {(x)}^(2) + (48) {}^(2) \\ \implies2500 = (x) {}^(2) + 2304`

`\implies (x) {}^(2) = 2500 - 2304 \\ \implies (x) {}^(2) = 196 \\ \implies x = √(196) \\ \implies x = 14`

`\therefore \text{Base}= 14`

Hope this helps