Question

analyze the diagram below and complete the instructions that follow.

in the right triangle above, ( a = 2.7 ) and ( b = 4.3 ). find the value of ( c ), rounded to the nearest tenth.
a. ( c = 5.0 )
b. ( c = 5.1 )
c. ( c = 7.0 )
d. ( c = 25.8 )

Explanation:

Step1: Apply Pythagorean theorem

$c^2 = a^2 + b^2$

Step2: Substitute given values

$c^2 = (2.7)^2 + (4.3)^2$

Step3: Calculate squared terms

$c^2 = 7.29 + 18.49 = 25.78$

Step4: Solve for c

$c = \sqrt{25.78} \approx 5.1$

Answer:

B. $c=5.1$