Respuesta :

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] \red {\mathbb{ \underline { \tt By \: using \: Pythagoras \: theorm}}}[/tex]

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ x {}^{2} = (7 {}^{2} + 6 {}^{2} )ft {}^{2} \\ x {}^{2} = (49 +3 6)ft {}^{2} \\ x {}^{2} = 85 ft\\ x = \sqrt{85 } ft \\ [/tex]

ujalakhan18

Answer:

[tex]\huge\boxed{\sf H = 9.2\ ft}[/tex]

Step-by-step explanation:

Since the triangle is a right-angled triangle, we can apply Pythagoras Theorem on this triangle.

Pythagoras Theorem:

[tex](Hypotenuse)^2= (Base)^2+(Perpendicular)^2[/tex]

Given:

Base = 6 ft

Perpendicular = 7 ft

Required:

Hypotenuse = x ft

Solution:

Put the givens in the above formula of the Pythagoras Theorem:

(x)² = (6)² + (7)²

(x)² = 36 + 49

(x)² = 85

Taking sqrt on both sides

x = 9.2 ft

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

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