Prealgebra triangles

A triangle has all integer side lengths. Two of the sides have length 5 and 12. If x is the smallest possible length for the third side, and y is the largest possible length for the third side, what is y-x?

• 7

• 8

• 9

• 10

How many unique triangles can you make such that all the sides are integers and the perimeter is 6?

• None

• 1

• 2

• 3

Tags

CCSS.7.G.A.2

Two of the sides in a right triangle have length 6 and 9. Select all the possible lengths of the third side, in simplest form.

•  $\sqrt{15}$  

•  $3\sqrt{5}$  

•  $3\sqrt{13}$  

•  $\sqrt{177}$  

Tags

CCSS.8.G.B.8

5-12-13 is a common Pythagorean triple. If the hypotenuse of a right triangle is  $\frac{13}{177}$  and one of the legs has length  $\frac{5}{177}$ , what is the length of the other leg, in simplest form?

•  $\frac{4}{59}$  

•  $\frac{12}{177}$  

•  $\frac{8}{59}$  

•  $\frac{21}{177}$  

Tags

CCSS.8.G.B.7

As shown, a 25 foot long ladder reaches 24 feet up the side of a building. Then, the top of the ladder slides down 4 feet while the bottom slides horizontally away from the wall. How many additional feet does the bottom of the ladder slide out from the base of the building?

• 4

• 6

• 7

• 8

Tags

CCSS.8.G.B.8

One of the angles in an isosceles triangle has measure 36 degrees. If I choose another angle in this triangle, select all the possibilities for the measure of this angle.

• 36

• 48

• 72

• 108

Tags

CCSS.8.G.A.5

In the triangle,  $\angle ABC$  is congruent to  $\angle ACB$ . What is x?

• 5

• 6

• 7

• 8

Tags

CCSS.HSG.CO.C.9

The area of an equilateral triangle is  $3\sqrt{3}$ . What is the side length of the triangle?

•  $3\sqrt{2}$  

•  $2\sqrt{3}$  

•  $3$  

•  $\sqrt{3}$  

Tags

CCSS.6.G.A.1

Find x.

• $\sqrt{2}$

• $\sqrt{3}$

• $\frac{3\sqrt{3}}{2}$

• $3\sqrt{3}$

Tags

CCSS.HSG.CO.C.9

Find x.

• $\frac{2}{3}$

• $\frac{3}{4}$

• $\frac{4}{3}$

• $\frac{3}{2}$

Tags

CCSS.HSG.SRT.C.8