Exercise 13 Page 634

To find the missing side of the triangle, we will use the Pythagorean Theorem. a^2+b^2=c^2

In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We are given a triangle with a= 35, b= 15, and c=x.

Let's substitute these values into the formula.

a^2+b^2=c^2

Substitute values

( 3/5)^2+( 1/5)^2= x^2

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Solve for x

(a/b)^m=a^m/b^m

3^2/5^2+1^2/5^2=x^2

Calculate power

9/25+1/25=x^2

Add fractions

10/25=x^2

Rearrange equation

x^2=10/25

sqrt(LHS)=sqrt(RHS)

x=sqrt(10)/5

Use a calculator

x=0.632455...

Round to 1 decimal place(s)

x≈0.6

Since a negative side length does not make sense, we only need to consider positive solutions.