What's New
Complete the foliowing statements by supplying the missing ideas. Write your
answer on your answer sheet
1 John has been staying at home for almost a year now due to the pandemic. He
wants to become fruitful despite being just at home so
2. The modular learning has been quite hard for Liza who is now on her Grade 7. To
cope with the difficulties she experiences she
What do you usually do when you are faced with conflicts like these?
Do you seek outside help?
Do you wish to end up in a fight or you choose to compromise?
? What is it
Answers
Answer:
Given:
The Base and Height of the triangle are in the ratio of 2:3. And, area of the triangle is 180 cm².
To find:
The Base and Height of triangle.
Solution: Let the Base and Height of the triangle be 2x and 3x respectively.
As we know that,
★ Area of triangle = 1/2 × (Base) × (Height) ★
Area of the triangle is given that is 180 cm². Therefore by using the formula,
\implies⟹ 108 = 1/2 × (2x) × (3x)
\implies⟹ 108 = 3x²
\implies⟹ x² = 108/3
\implies⟹ x² = 36
\implies⟹ x = √36
\implies⟹ x = 6 ★
Hence,
➠ Base of the triangle, 2x = 2 × (6) = 12 cm
➠ Height of the triangle, 3x = 3 × (6) = 18 cm
Hence, Base and Height of the triangle are 12 cm and 18 cm respectively.
Explanation:
Given:
The Base and Height of the triangle are in the ratio of 2:3. And, area of the triangle is 180 cm².
To find:
The Base and Height of triangle.
Solution: Let the Base and Height of the triangle be 2x and 3x respectively.
As we know that,
★ Area of triangle = 1/2 × (Base) × (Height) ★
Area of the triangle is given that is 180 cm². Therefore by using the formula,
\implies⟹ 108 = 1/2 × (2x) × (3x)
\implies⟹ 108 = 3x²
\implies⟹ x² = 108/3
\implies⟹ x² = 36
\implies⟹ x = √36
\implies⟹ x = 6 ★
Hence,
➠ Base of the triangle, 2x = 2 × (6) = 12 cm
➠ Height of the triangle, 3x = 3 × (6) = 18 cm
Hence, Base and Height of the triangle are 12 cm and 18 cm respectively.