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:
[tex]c^2=a^2^{}+b^2[/tex]
Then, we have:
• c is the hypotenuse
,
• a, b the given legs of the right triangle
[tex]c^2=(0.84m)^2+(0.63)^2[/tex]
Now, to solve the equation for c, we need to take the square root from both sides of the equation:
[tex]\sqrt[]{c^2}=\sqrt[]{(0.84m)^2+(0.63m)^2}=1.05m[/tex]
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.
