Do the following sides form a Pythagorean triple? √3, √4 and √5?
No
In a 45-45-90 triangle, if the hypotenuse is 12, what are the length of the legs?
6√2
If a side of an equilateral triangle is 6, what is the length of its altitude in simplest radical form?
3√3
In an isosceles right triangle, if a leg is $, what is the length of $.
$√2.
If the legs of a right triangle are h and 4 + h, and they hypotenuse is 20, what is h?
12
In a right triangle, if the legs are 8 and 15, what is the perimeter of the triangle.
40.
If the side of a square is 6V3, find the length of its' diagonal.
6√6
In a 30-60-90 triangle the hypotenuse has a length of 4 feet. What is the perimeter of the triangle in simplest radical form?
6 + 2√3
If the distance between bases on a baseball diamond is 90 feet, how far is it from second base to home in simplest radical form?
90√2
If the altitude of an equilateral triangle is 18, what is the length of a side of the equilateral triangle?
12√3
If a lamppost 12 feet tall creates a shadow 5 feet long, what is the distance between the top of the lamppost and the part of the shadow farthest away from it?
13 feet
What is the area of a right triangle with a leg of 3 and a hypotenuse of 5?
6
What is the perimeter of a 30-60-90 triangle with a shortest leg having a length of 1 inch? Put your answer in simplest radical form.
3 +√3
Triangle PAB is a right triangle with right angle at B. Find the coordinates of P if P is in quadrant 1 for A(-3,1) and B(4,1).
(4,8)
In a right triangle, if a leg is 7 and the hypotenuse if 25, what is the length of the other leg.
24.
The length of a leg of an isosceles right triangle is 20√5 cm. What is the length of the hypotenuse? Leave your answer in simplest radical form.
20√10
If the long leg of a 30-60-90 triangle is 9, what is the hypotenuse?
6√3.
In a rectangle with side lengths of 9 and 40, what is the diagonal?
41
In a square with a diagonal of 3√2, what is the perimeter of the square?
12 units
If the shortest leg of a 30-60-90 triangle is 5√6, what is the length of the long leg in simplest radical form?
15√2
Given right triangle with legs of a, and a +1 and hypotenuse of a + 2, find a.
3