Find the value of x in the triangle shown below
a. √8
b. √32
c. 32
d. 8
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Answer:
5.65685424949 or 5.66
Step-by-step explanation:
In a right-angled triangle, the longest side/leg is called the hypotenuse.
The formula to solve for the hypotenuse is:
hyp^2= side^2+side^2
If the hypotenuse of the triangle is already given then we have to solve for a side.
The formula to solve for the side is:
side^2= hyp^2-side^2
This formula to solve for the side is the opposite of solving for the hypotenuse which is the longest side/leg of the right-angled triangle.
In this question we have to solve for the side.
There are two sides in this triangle. Let's name those sides side a and side b. Side a is already given.
hyp= 9
side a = 7
side^2 = hyp^2-side^2
side b = 9^2 - 7^2
side b = 81 - 49
side b = 32
side b = √32
side b= 5.65685424949. to 2 decimal places -> 5.66