Question

Two sides of a triangle have lengths 15 and 20 units.

a) 25 units
b) 35 units
c) 5 units
d) 40 units

Answer 1

The length of the hypotenuse is 25 units.

Step-by-step explanation:

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we have a right triangle with sides of lengths 15 and 20 units. To find the length of the hypotenuse, we can use the Pythagorean theorem:

c^2 = a^2 + b^2

c^2 = 15^2 + 20^2

c^2 = 225 + 400

c^2 = 625

c = √625

c = 25

Therefore, the length of the hypotenuse is 25 units.