What is the length of the hypotenuse of a right triangle with legs that are 7 and 8 inches long?
The length of the hypotenuse is 10.6 units (approximately)
Step-by-step explanation: A right angled triangle can be solved by applying the Pythagoras theorem which states thus;
`"AC"^2` = `"AB"^2` + `"BC"^2`
Where AC is the hypotenuse (the longest side) and AB and BC are the other two sides.
In this question, AB and BC are the other two sides, that is, 7 units and 8 units. Hence, to calculate the hypotenuse,
`"AC"^2` = `"AB"^2` + `"BC"^2`
`"AC"^2` = `7^2` + `8^2`
`"AC"^2` = 49 + 64
`"AC"^2` = 113
Add the square root sign to both sides of the equation
AC = 10.63
Therefore, the length of the hypotenuse is approximately 10.6 units
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