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直角三角形・勾股与高挑战
The length of the diagonal of a square is \( \frac{176\sqrt{2}}{2} \) units. What is the area, in square units, of the square?
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直角三角形・勾股与高挑战
The length of a rectangle's diagonal is \( \sqrt{65} \), and the length of one of the rectangle's sides is 4. What is the perimeter of the rectangle?
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直角三角形・勾股与高进阶
In right triangle ABC shown, what is the measure of ∠C?

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直角三角形・勾股与高基础
In a right triangle, the measure of one of the acute angles is 14°. What is the measure of the other acute angle, in degrees? (Disregard the degree symbol when entering your answer.)
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直角三角形・勾股与高挑战
The length of a rectangle's diagonal is \( \sqrt{106} \), and the length of one of the rectangle's sides is 9. What is the perimeter of the rectangle?
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直角三角形・勾股与高进阶

The line segment shown in the xy-plane represents side JK of isosceles triangle JKL, where side JL is congruent to side KL. The perimeter of this triangle is \( 13\sqrt{17} \)units. What is the length, in units, of side JL of this triangle?
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直角三角形・勾股与高挑战
An isosceles right triangle has a perimeter of \( 34+34\sqrt{2} \) inches. What is the length, in inches, of one leg of this triangle?
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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 13 and the length of \( AC \) is 19 greater than the length of \( AB \). What is the value of \( \frac{BC}{BD} \)?
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直角三角形・勾股与高进阶
In triangle ABC, the measure of angle A is \( 30^{∘} \) and the measure of angle B is \( 90^{∘} \). If the length of side BC is 38 centimeters, what is the length, in centimeters, of side AB?
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直角三角形・勾股与高挑战
An isosceles right triangle has a perimeter of \( 82+82\sqrt{2} \) inches. What is the length, in inches, of one leg of this triangle?
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直角三角形・勾股与高进阶
The length of a rectangle's diagonal is \( \sqrt{145} \), and the length of one of the rectangle's sides is 8. What is the perimeter of the rectangle?
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直角三角形・勾股与高挑战

A right triangle has the dimensions shown, in centimeters (cm). What is the area of the triangle, in cm²?
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