What is the value of x on this figure? Group of answer choices a x=7 B x= 3 C x=29 D x=square root of 29
![What is the value of x on this figure Group of answer choices a x7 B x 3 C x29 D xsquare root of 29 class=](https://us-static.z-dn.net/files/d1b/6a51850bf133fb4886d37892e620bba3.png)
The correct answer is: D: x=√29
Step-by-step explanation:
Given triangle is a right angle triangle.
Here
Perpendicular = P = 2
Base = B = 5
Hypotenuse = H = x
We will use the Pythagoras theorem to find the length of Hypotenuse
[tex]H^2=P^2+B^2\\Putting\ values\\(x)^2=(2)^2+(5)^2\\x^2=4+25\\x^2=29[/tex]
Taking square root on both sides
[tex]\sqrt{x^2}=\sqrt{29}\\x=\sqrt{29}[/tex]
Hence,
The correct answer is: D: x=√29
Keywords: Pythagoras Theorem, Triangle
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