Question

I have to determine the length please show me the steps

Answer 1

Answer:

c = 11.03 m

Step-by-step explanation:

In this given right isoceles triangle, one of the sides are labeled as 7.8 m. We'll label this side as "a."  

The length of side "a" is congruent to the other side. Therefore, the measurement of the other side is also 7.8 m.

We can use the Pythagorean Theorem to solve for the measurement of the hypotenuse, side "c."

According to the Pythagorean Theorem: $c^{2} = a^{2} + a^{2}$.

We'll plug in the values for side "a" and side "b" into the formula:

$c^{2} = a^{2} + a^{2}$

$c^{2} = 2a^{2}$

$c^{2} = 2(7.8 m)^{2}$

$c^{2} = 121.68 m^{2}$

To calculate the value of "c," we must take the squared root of $2a^{2}$:

$\sqrt{c^{2}} = \sqrt{121.68}$

c = 11.03087 m or 11.03 m

By the way, the value of c = a $\sqrt{2}$