question 5 of 40

if the bases of an isosceles trapezoid have lengths of 11 and 26, what is the length of the median?

a. 7.5 units
b. 37 units
c. 15 units
d. 18.5 units

Question

question 5 of 40

if the bases of an isosceles trapezoid have lengths of 11 and 26, what is the length of the median?

a. 7.5 units
b. 37 units
c. 15 units
d. 18.5 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", "Trapezoid Properties" ] } ## Identify the given values and formula $$ \begin{aligned} &b_1 = 11\ &b_2 = 26\ &\text{Median} = \frac{b_1 + b_2}{2} \end{aligned} $$ ## Calculate the length of the median $$ \begin{aligned} &\text{Median} = \frac{11 + 26}{2}\ &\text{Median} = \frac{37}{2} = 18.5 \end{aligned} $$

A. 7.5 units

B. 37 units

C. 15 units

D. 18.5 units

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given values and formula

Calculate the length of the median

Answer: