Question

current attempt in progress
if the two legs in the following 45° - 45° - 90° triangle have length 3 meters, how long is the hypotenuse?
round your answer to two decimal places.
the hypotenuse is approximately meters.

Explanation:

Step1: Identify the formula for hypotenuse

For a 45 - 45 - 90 triangle, the hypotenuse $c$ and leg length $a$ are related by $c = \sqrt{2}a$.

Step2: Substitute the given value

Given $a = 3$ meters, we substitute into the formula: $c=\sqrt{2}\times3$.

Step3: Calculate the value

$c = 3\sqrt{2}\approx3\times1.41421 = 4.24263$.

Step4: Round the result

Rounding to two decimal places, we get $c\approx4.24$ meters.

Answer:

4.24