Which statement about right triangles is true?

Which statement about right triangles is true?

• A. The sum of the angles is 90°.
• B. One angle is 90° and the sum of the other two angles is 90°.
• C. The area can be calculated using the formula A = b × h.
• D. Both B and C are correct.

Answer: (D)

In a right triangle, one angle measures 90 degrees by definition, which makes the statement that one angle is 90° and the sum of the other two angles is 90° true. This is a fundamental property of triangles—since the sum of all angles in any triangle must equal 180 degrees, if one angle is right (90°), the remaining two angles must indeed add up to 90 degrees. Additionally, the area of a right triangle can be calculated using the formula \( A = \frac{1}{2} b \times h \), where \( b \) is the length of the base and \( h \) is the height. This formula is effectively derived from the area formula for rectangles, where the height and the base form a right triangle, leading to the correct calculation of the area. Since both properties described in statements B and C are true regarding right triangles, it follows that the conclusion that both statements are correct is accurate. Thus, selecting the option indicating both B and C are correct captures the essential characteristics of right triangles effectively.

In a right triangle, one angle measures 90 degrees by definition, which makes the statement that one angle is 90° and the sum of the other two angles is 90° true. This is a fundamental property of triangles—since the sum of all angles in any triangle must equal 180 degrees, if one angle is right (90°), the remaining two angles must indeed add up to 90 degrees.

Additionally, the area of a right triangle can be calculated using the formula ( A = \frac{1}{2} b \times h ), where ( b ) is the length of the base and ( h ) is the height. This formula is effectively derived from the area formula for rectangles, where the height and the base form a right triangle, leading to the correct calculation of the area.

Since both properties described in statements B and C are true regarding right triangles, it follows that the conclusion that both statements are correct is accurate. Thus, selecting the option indicating both B and C are correct captures the essential characteristics of right triangles effectively.