choose the correct equations.

5.
image of a right-angled triangle with sides labeled j, i, k
$i^2 = j^2 + k^2$
$j^2 = i^2 + k^2$

6.
image of a right-angled triangle with sides labeled p, q, s
$s = \sqrt{p^2 + q^2}$
$s = \sqrt{p^2} + \sqrt{q^2}$

7.
image of a right-angled triangle with sides labeled t, u, v
$u^2 = t^2 - v^2$
$u^2 = v^2 - t^2$

Question

choose the correct equations.

5.
image of a right-angled triangle with sides labeled j, i, k
$i^2 = j^2 + k^2$
$j^2 = i^2 + k^2$

6.
image of a right-angled triangle with sides labeled p, q, s
$s = \sqrt{p^2 + q^2}$
$s = \sqrt{p^2} + \sqrt{q^2}$

7.
image of a right-angled triangle with sides labeled t, u, v
$u^2 = t^2 - v^2$
$u^2 = v^2 - t^2$

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Pythagorean Theorem" ], "current_concepts": [ "Pythagorean Theorem", "Right Triangles" ] } ## Analyze Question 5 $$ \begin{aligned} &\text{Hypotenuse: } i \ &\text{Legs: } j, k \ &i^2 = j^2 + k^2 \end{aligned} $$ ## Analyze Question 6 $$ \begin{aligned} &\text{Hypotenuse: } s \ &\text{Legs: } p, q \ &s^2 = p^2 + q^2 \implies s = \sqrt{p^2 + q^2} \end{aligned} $$ ## Analyze Question 7 $$ \begin{aligned} &\text{Hypotenuse: } v \ &\text{Legs: } t, u \ &v^2 = t^2 + u^2 \implies u^2 = v^2 - t^2 \end{aligned} $$ ## Question 5 (A) $i^2 = j^2 + k^2$ (B) $j^2 = i^2 + k^2$ ## Question 6 (A) $s = \sqrt{p^2 + q^2}$ (B) $s = \sqrt{p^2} + \sqrt{q^2}$ ## Question 7 (A) $u^2 = t^2 - v^2$

(B) $u^2 = v^2 - t^2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Pythagorean Theorem" ] }

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