A right triangle has legs of lengths 6 cm and 8 cm. Find the hypotenuse and the area of the triangle.

Wed, 15 Apr 2026 22:52:01 +0000

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To solve this triangle, begin with the basic principles of right triangle geometry. In a right triangle, the two legs—shortest sides forming the right angle—create the hypotenuse, the longest side opposite the right angle. Using the Pythagorean theorem, the hypotenuse \( c \) is calculated as: \[
c = \sqrt{a^2 + b^2}
\]
where \( a = 6 \) cm and \( b = 8 \) cm.