The legs of a right triangle are 26 and 6 cm. Find the hypotenuse and the area of the triangle.
| March 28, 2021 | education
We find the hypotenuse by the Pythagorean theorem c ^ 2 = a ^ 2 + b ^ 2.
c ^ 2 = 26 ^ 2 + 6 ^ 2 = 676 + 36 = 712.
s = 2√178cm.
We find the area of a right-angled triangle by the formula S = a * b / 2.
S = 26 * 6/2 = 156: 2 = 78cm2.
Answer: the hypotenuse is 2√178cm, the area is 78cm2.
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