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You’re walking in downtown Salt Lake City, where all blocks are squares of equal size. To get from your hotel to a restaurant, you walk 4 blocks east and then 3 blocks south. If there is no change in altitude along your walk, what is the linear distance, in blocks, from your hotel directly to the restaurant?
In the 2 similar triangles below, what is the measure of angle Z?
In the 2 similar triangles below, what is the measure of angle P?
In \(\triangle ABC\), the lengths of \( \overline{AB}\) and \(\overline{BC}\) are \(3\) and \(4\), respectively. If it can be determined, what is the length of \(\overline{CA}\)?
In right \(\triangle ABC\), the lengths of the bases \( \overline{AB}\) and \(\overline{BC}\) are \(2.5\) and \(\sqrt{24}\), respectively. If it can be determined, what is the length of \(\overline{CA}\) to the nearest tenth?
A right triangle has side lengths 24km, 45km, and 51km. What is the area, in \(km^2\), of this triangle?
A person’s nose can be approximated as a right triangle. You measure the base and length of your nose to be 1in and 1.66in, respectively. Given these measurements, what is the shaded area of your nose, to the nearest hundredth of a \(in^2\)?
\(\triangle XYZ\) is shown below. \(\overline{XY} \cong \overline{YZ}\) and \(\angle X = 22^\circ\). What is the measure of \( \angle Y\), in degrees?
If \(\triangle PRQ \sim \triangle XYZ\), which of the following statements is not necessarily true?
Given the figure below, what is the measure of \(\angle K?\)?
Square WXYZ has a diagonal of length \(16 \sqrt{2}\). What is the length of \(\overline{WX}\)?
\(\triangle LMN \sim \triangle LRS \). Given the diagram below, what is the measure of \(\angle LRS\), in degrees?
In \(\triangle ABC\), \(\angle A\) and \(\angle C\) are both \(45^\circ\). This triangle is therefore:
Right \(\triangle ABC\) has side lengths of 9ft, 12ft, and 15ft. What is the area of this triangle in square ft?
Right \(\triangle ABC\) has side lengths of 9ft, 12ft, and 15ft. What is the perimeter of this triangle in ft?