if the bases of an isosceles trapezoid have lengths of 22 and 29, what is the length of the median?

a. 3.5 units
b. 25.5 units
c. 7 units
d. 51 units

Question

if the bases of an isosceles trapezoid have lengths of 22 and 29, what is the length of the median?

a. 3.5 units
b. 25.5 units
c. 7 units
d. 51 units

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Trapezoid Midsegment Theorem" ], "new_concepts": [], "current_concepts": [ "Trapezoid Midsegment Theorem", "Isosceles Trapezoid Properties" ] } ## Identify the given values and formula $$ \begin{aligned} &b_1 = 22\ &b_2 = 29\ &M = \frac{b_1 + b_2}{2} \end{aligned} $$ ## Calculate the median length $$ \begin{aligned} &M = \frac{22 + 29}{2}\ &M = \frac{51}{2}\ &M = 25.5 \end{aligned} $$

(A) 3.5 units

(B) 25.5 units

(C) 7 units

(D) 51 units

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

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QUESTION IMAGE

Question

Explanation:

Identify the given values and formula

Calculate the median length

Answer: