Question

Find the length of the unknown side. Round your answer to the nearest whole number.

Image of a right triangle with legs labeled 5 inches each and hypotenuse unknown.

7 inches

10 inches

25 inches

50 inches

Answer 1

See image attached for the illustration

We could find the length of the unknown side using pythagorean theorem. The square of hypotenuse is equal to the sum of the squares of the other two sides.

h² = 5² + 5²
h² = 25 + 25
h² = 25 × 2
h =
`√(25 * 2)`
h = √25 × √2
h = 5 × √2
h = 5 × 1.414
h = 7.07
to the nearest whole number h = 7

The length of unknown hypotenuse is 7 inches

Answer 2

Knowing that it is a right triangle, and that 2 sides are congruent, it is an iscoceles triangle. An iscoceles triangle's sides follow the (1, 1, √2) pattern.

Saying that the legs (the 1) is 5 each

5 x √2 = 5√2

5√2, or 7.07 (rounded) is your answer

hope this helps