Find the Hypotenuse AC in Right Triangle with Legs 8 and 3

Triangle ABC is a right triangle,

Find AC

83ABC

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1

Understand the problem

Triangle ABC is a right triangle,

Find AC

83ABC

2

Step-by-step solution

To solve for the length of side AC of triangle ABC, we will use the Pythagorean theorem as follows:

  • Step 1: Identify the sides - Side AB is 8 units and side BC is 3 units.
  • Step 2: Apply the Pythagorean theorem - a2+b2=c2 a^2 + b^2 = c^2 where c c is the hypotenuse.
  • Step 3: Substitute the lengths into the formula - 32+82=AC2 3^2 + 8^2 = AC^2 .
  • Step 4: Calculate - 9+64=AC2 9 + 64 = AC^2 .
  • Step 5: Simplify - 73=AC2 73 = AC^2 .
  • Step 6: Solve for AC - AC=73 AC = \sqrt{73} .

Therefore, the length of side AC in triangle ABC is 73 \sqrt{73} .

3

Final Answer

73 \sqrt{73}

Practice Quiz

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Consider a right-angled triangle, AB = 8 cm and AC = 6 cm.
Calculate the length of side BC.

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