Find the area of triangle whose length of median is 9 cm, 10 cm, and 1

1.	Find the area of triangle whose length of median is 9 cm, 10 cm, and 11 cm?1. 36√2 square cm2. 20√6 square cm3. 40√2 square cm4. 30√3 square cm
Answer» Correct Answer - Option 3 : 40√2 square cm Given: Length of medians is 9 cm, 10 cm, and 11 cm Formula used/Concept Used: The formula used to calculate the area of triangles when length of medians is given s = (u + v + w)/2 Area of triangle = (4/3) × √s × (s - u) × (s - v) × (s - w) Where u, v and w are the length of medians Calculation: Length of median is 9 cm, 10 cm, and 11 cm ∴ s = (9 + 10 + 11)/2 = 15 cm Now, Area of triangle = (4/3) × √15 × (15 - 9) × (15 - 10) × (15 - 11) = (4/3) × 30√2 = 40√2 ∴ The area of triangle is 40√2 square cm

Find the area of triangle whose length of median is 9 cm, 10 cm, and 11 cm?1. 36√2 square cm2. 20√6 square cm3. 40√2 square cm4. 30√3 square cm

Answer» Correct Answer - Option 3 : 40√2 square cm

Given:

Length of medians is 9 cm, 10 cm, and 11 cm

Formula used/Concept Used:

The formula used to calculate the area of triangles when length of medians is given

s = (u + v + w)/2

Area of triangle = (4/3) × √s × (s - u) × (s - v) × (s - w)

Where u, v and w are the length of medians

Calculation:

Length of median is 9 cm, 10 cm, and 11 cm

∴ s = (9 + 10 + 11)/2 = 15 cm

Now, Area of triangle = (4/3) × √15 × (15 - 9) × (15 - 10) × (15 - 11) = (4/3) × 30√2 = 40√2

∴ The area of triangle is 40√2 square cm

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