Calculate the size of side x to 1 decimal place. Show

Ответ:

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01.02.2022

x=7.4 m and x=11.2 m

Step-by-step explanation:

To do these problems, we will need to use the Pythagorean Theorem.

Recall that it states a^2+b^2=c^2 , where c is the longest side, the hypotenuse, of the triangle.

a) We have a triangle with side lengths 4.2 m and 6.1 m. These two sides correspond to a and b in this equation.

Now, we can plug these values into the equation and solve for c, which is x.

$(4.2)^2+(6.1)^2=x^2\\\\17.64+37.21=x^2\\\\x=\sqrt{54.85}\\\\x=7.406\\\\x=7.4$

b) We have a triangle with side lengths 5.1 m and 12.3 m. These sides correspond to a and c, so b will be x.

Now, we can plug these values into the equation and solve for x.

$(5.1)^2+x^2=(12.3)^2\\\\26.01+x^2=151.29\\\\x=\sqrt{151.29-26.01}\\\\x=\sqrt{125.28}\\\\x=11.193\\\\x=11.2$

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