Question

find the length of a right triangle that has a base of 79 meters and a height of 175 meters

Answer 1

but why is it 156.15

Answer 2

To find the hypotenuse of a right triangle when the base and height are known, you can use the Pythagorean theorem, which states:

\[
c = \sqrt{a^2 + b^2}
\]

where:
- \( c \) is the length of the hypotenuse,
- \( a \) is the length of one leg (base),
- \( b \) is the length of the other leg (height).

In your case, the base \( a \) is 79 meters and the height \( b \) is 175 meters. Plugging in the values:

\[
c = \sqrt{79^2 + 175^2}
\]

Calculating \( 79^2 \) and \( 175^2 \):

\[
79^2 = 6241
\]
\[
175^2 = 30625
\]

Now add these together:

\[
c = \sqrt{6241 + 30625}
\]
\[
c = \sqrt{36866}
\]

Now, calculate \( \sqrt{36866} \):

\[
c \approx 192.10
\]

So, the length of the hypotenuse is approximately **192.10 meters**.

Answer 3

Let's go through the calculation step-by-step again to ensure we arrive at the correct hypotenuse length.

Given:
- Base \( a = 79 \) meters
- Height \( b = 175 \) meters

We need to calculate the hypotenuse \( c \) using the Pythagorean theorem:

\[
c = \sqrt{a^2 + b^2}
\]

Calculating \( a^2 \) and \( b^2 \):

\[
a^2 = 79^2 = 6241
\]

\[
b^2 = 175^2 = 30625
\]

Now, add these two results:

\[
a^2 + b^2 = 6241 + 30625 = 36866
\]

Now, we can find \( c \):

\[
c = \sqrt{36866}
\]

Calculating \( \sqrt{36866} \):

\[
c \approx 192.10 \text{ meters}
\]

It appears that the correct hypotenuse length is approximately **192.10 meters**. If you are certain that it should be 156.15 meters, please check the values for base and height that you provided or clarify any additional details about the triangle.