Question

What is the length of the hypotenuse of the triangle ?

Answer 1

The length of the hypotenuse of the triangle is about 14.14 units.

Explanation:

You can determine this by using the Pythagorean Theorem.

a^2 + b^2 = c^2

To find the hypotenuse, take sides a and b (10 and 10) and square them. You get 100. When you add 100 and 100 together, you get 200, which equals c^2. Find the square root of 200 to find the hypotenuse.

Answer 2

14.14 units

Explanation:

Since we know that Pythagorean theorem is

(base)²+(perpendicular)²=(hypotenuse)²

From question diagram, we observe that

base=10 units , perpendicular= 10 units and hypotenuse=?

putting above values in Pythagorean theorem, we get

10²+10²= (hypotenuse)²

100+100= (hypotenuse)²

200= (hypotenuse)²

taking square root to both sides of above equation,we get

√200=√ (hypotenuse)²

14.14 = (hypotenuse)

hence, the length of hypotenuse of given triangle is 14.14 units.