solve for c.

7
c
8

$c = ? $

pythagorean theorem: $a^2 + b^2 = c^2$
round your answer to the nearest hundredth.

Question

solve for c.

7
c
8

$c =  ? $

pythagorean theorem: $a^2 + b^2 = c^2$
round your answer to the nearest hundredth.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Pythagorean Theorem" ], "new_concepts": [], "current_concepts": [ "Pythagorean Theorem" ] } ## Identify the given values and formula $$ \begin{aligned} &a = 7\ &b = 8\ &a^2 + b^2 = c^2 \end{aligned} $$ ## Substitute the values and solve for c $$ \begin{aligned} &7^2 + 8^2 = c^2\ &49 + 64 = c^2\ &c^2 = 113\ &c = \sqrt{113} \approx 10.6301 \end{aligned} $$ ## Round to the nearest hundredth $$ c \approx 10.63 $$ Solve for c. $c =$ 10.63 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Pythagorean Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values and formula

Substitute the values and solve for c

Round to the nearest hundredth

Answer: