Simplifying Radicals
sqrt(75)
5sqrt(3)
Find the hypotenuse of a triangle with side lengths 3 and 5.
sqrt(34)
In a 45-45-90 right triangle, the measure of the side opposite of the 90-degree angle is...
xsqrt(2)
What is the length of the leg opposite the 45-degree angle of a 45-45-90 right triangle, whose hypotenuse is
5sqrt(2)
5
What is the length of the leg opposite the 60-degree angle of a 30-60-90 right triangle if the length of the leg opposite the 30-degree angle is 12?
12sqrt(3)
sqrt(89)
irreducible
Find the hypotenuse of a triangle with side lengths 6 and 7.
sqrt(85)
In a 30-60-90 right triangle, the formula for the side opposite the 60-degree angle is...
xsqrt(3)
What is the length of the leg opposite the 45-degree angle of a 45-45-90 right triangle, whose hypotenuse is 6.
3sqrt(2)
What is the length of the leg opposite the 30-degree angle of a 30-60-90 right triangle if the length of the leg opposite the 90-degree angle is 7?
7/2
1/sqrt(2)
sqrt(2)/2
Find the hypotenuse of a triangle with side lengths 10 and 9.
sqrt(181)
In a 30-60-90 right triangle, the formula for the side opposite the 90-degree angle is...
2x
What is the length of the leg opposite the 45-degree angle of a 45-45-90 right triangle, whose hypotenuse is 58.
29sqrt(2)
What is the length of the leg opposite the 90-degree angle of a 30-60-90 right triangle if the length of the leg opposite the 60-degree angle is
2sqrt(6)
4sqrt(2)
9/sqrt(8)
(9sqrt(2))/4
Find the hypotenuse of a triangle with side lengths 15 and 22.
sqrt(709)
Why are there only two formulae that we have to memorize for the side lengths of a 45-45-90 right triangle?
Because a 45-45-90 right triangle is an isosceles right triangle, where two angles and their corresponding opposite sides are congruent.
What is the length of the leg opposite the 45-degree angle of a 45-45-90 right triangle, whose hypotenuse is
40sqrt2
40
What is the length of the leg opposite the 30-degree angle of a 30-60-90 right triangle if the length of the leg opposite the 60-degree angle is
2sqrt(6)
2sqrt(2)