명제의 증명과 절대부등식 연습문제 — Sundstrom, Mathematical Reasoning · 3.2절

Sundstrom, Mathematical Reasoning · 3.2절영어 원문

In English, write the contrapositive of, “For all real numbers $a$ and $b$ , if $a \ne 0$ and $b \ne 0$ , then $ab \ne 0$ .”

정답·풀이 보기 (영어 원문)

For all real numbers $a$ and $b$ , if $ab = 0$ , then $a = 0\text{ or } b = 0$ .

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 3.2절 · 8c번영어 원문

For a right triangle, suppose that the hypotenuse has length $c$ feet and the lengths of the sides are $a$ feet and $b$ feet.

Prove that the right triangle described above is an isosceles triangle if and only if the area of the right triangle is $\dfrac{1}{4} c^2$ .

다 풀었으면 정답 확인

Prove both of the conditional statements: (1) If the area of the right triangle is $c^2/4$ , then the right triangle is an isosceles triangle. (2) If the right triangle is an isosceles triange, then the area of the right triangle is $c^2/4$ .

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