Question

How do I find hypotenuse where relevant and how do I calculate the three significant figures?

Answer 1

To answer this question, we are assuming that the triangle is a right triangle, with sides (legs), a = 0.84m, and b = 0.63m.

Then, we can use the Pythagorean Theorem as follows:

`c^2=a^2^{}+b^2`

Then, we have:

• c is the hypotenuse

,

• a, b the given legs of the right triangle

`c^2=(0.84m)^2+(0.63)^2`

Now, to solve the equation for c, we need to take the square root from both sides of the equation:

`\sqrt[]{c^2}=\sqrt[]{(0.84m)^2+(0.63m)^2}=1.05m`

Therefore, c = 1.05m. The result was already given in three significant figures.

In summary, the measure of the hypotenuse of the given right triangle is 1.05m.