Unknown Leg Lengths in Right Triangles — Unit test Answers

Giselle is building a small baseball infield for her brother. The infield should be in the shape of a square. Each side of the infield, between bases, measures 30 feet. The distance between home plate and second base, as shown in the picture, is 45 feet. Which best describes the shape of the baseball field?

Carlos found that the length of the diagonal of his laptop monitor is . If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal?

What is the length of the hypotenuse in a right triangle with legs of length 14 and 48?

Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles. At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour. Mark plans to jog back the way they came. Jesse wants to find out who will arrive home first and by how much time. Which statements should he consider when solving the problem? Check all that apply.

Which numbers are irrational? Check all that apply.

What value of y will make the equation true?

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). At which points could the vertex of the right angle in the triangle be located? Check all that apply.

The values and are plotted on the number line. What is the approximate difference in tenths between the two values?

Jillian said is irrational because it is a square root. Why is she incorrect?

Carl is trying to determine the length of segment MN using the Pythagorean theorem. Step 1: Find the vertex of a possible right triangle. V(4, 1)Step 2: Find the leg lengths of the right triangle. NV = 7, MV = 5Step 3: Substitute the values into the Pythagorean theorem. Step 4: Solve for c. Which best describes the accuracy of Carl’s solution?