Question

refer to the right triangle. find c if a = 28 and b = 21. c = 1,225 (with a right triangle image labeled a, b, c)

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem is \( c^{2}=a^{2}+b^{2} \). Given \( a = 28 \) and \( b=21 \), we substitute these values into the formula: \( c^{2}=28^{2}+21^{2} \).

Step2: Calculate squares

Calculate \( 28^{2}=784 \) and \( 21^{2} = 441 \). Then \( c^{2}=784 + 441=1225 \).

Step3: Find square root

Take the square root of both sides: \( c=\sqrt{1225} \). Since \( 35\times35 = 1225 \), we get \( c = 35 \).

Answer:

35