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直角三角形・勾股与高进阶

A right triangle has legs with lengths of 28 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?
原库参考解析
PSAT 8/9 P1 · 原库模块 1 · Q18作答 ↗
直角三角形・勾股与高基础

In a right triangle, the measure of one of the acute angles is 51°. What is the measure, in degrees, of the other acute angle?
原库参考解析
PSAT 8/9 P1 · 原库模块 2 · Q16作答 ↗
直角三角形・勾股与高进阶

题目图表
In the right triangle shown, what is the value of a?
原库参考解析
PSAT 8/9 P2 · 原库模块 1 · Q11作答 ↗
直角三角形・勾股与高进阶

题目图表
The lengths of the legs of a right triangle are shown. Which of the following is closest to the length of the triangle's hypotenuse?
原库参考解析
PSAT 8/9 P2 · 原库模块 1 · Q15作答 ↗
直角三角形・勾股与高挑战

题目图表
The line segment shown in the xy-plane represents one of the legs of a right triangle. The area of this triangle is \( 36\sqrt{13} \) square units. What is the length, in units, of the other leg of this triangle?
原库参考解析
PSAT 8/9 P2 · 原库模块 3 · Q20作答 ↗
直角三角形・勾股与高挑战

In triangle ABC, the measure of angle B is 90° and \( BD \)  is an altitude of the triangle. The length of \( AB \)  is 15 and the length of \( AC \)  is 23 greater than the length of \( AB \) . What is the value of \( \frac{BC}{BD} \) ?
原库参考解析
PSAT10 P1 · 原库模块 2 · Q21作答 ↗
直角三角形・勾股与高基础

题目图表
Which equation shows the relationship between the side lengths of the given triangle?
原库参考解析
PSAT10 P1 · 原库模块 3 · Q11作答 ↗
直角三角形・勾股与高挑战

The length of a rectangle’s diagonal is \( 3\surd 17 \) , and the length of the rectangle’s shorter side is 3. What is the length of the rectangle’s longer side?
原库参考解析
Right triangles and trigonometry · 原库模块 1 · Q13作答 ↗
直角三角形・勾股与高挑战

A square is inscribed in a circle. The radius of the circle is \( \frac{20\sqrt{2}}{2} \)  inches. What is the side length, in inches, of the square?
原库参考解析
Right triangles and trigonometry · 原库模块 1 · Q14作答 ↗
直角三角形・勾股与高挑战

A triangle with angle measures 30°, 60°, and 90° has a perimeter of \( 18+6\sqrt{3} \) . What is the length of the longest side of the triangle?
原库参考解析
Right triangles and trigonometry · 原库模块 1 · Q19作答 ↗
直角三角形・勾股与高挑战

An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle?
原库参考解析
Right triangles and trigonometry · 原库模块 1 · Q6作答 ↗
直角三角形・勾股与高挑战

An isosceles right triangle has a perimeter of 94 + \( 94\sqrt{2} \)  inches. What is the length, in inches, of one leg of this triangle?
原库参考解析
Right triangles and trigonometry · 原库模块 1 · Q7作答 ↗