Heron's Formula | Chapter Assessment | English | Grade 9

In the given triangular field, a = 18 m, b = 10 m and perimeter = 42 m. Find the area of the field.

• 21 m²

• 20√10 m²

• 21√11 m²

• 20 m²

Answer explanation

Tags

CCSS.6.G.A.1

Suresh has a triangular shaped farm. The sides are of length 34 m, 16 m and 30 m. Find the area of the farm.

• 220 m²

• 240 m²

• 200 m²

• 210 m²

Answer explanation

Tags

CCSS.6.G.A.1

The perimeter of a triangular garden is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular field.

• 2000√15 m²

• 210√15 m²

• 2100√5 m²

• 2100√15 m²

Answer explanation

Tags

CCSS.6.G.A.1

The edges of a triangular board are 10 m, 8 m and 6 m. Find the total cost of painting, if the rate of painting is ₹ 120/m².

• ₹ 2800

• ₹ 2500

• ₹ 2880

• ₹ 2480

Answer explanation

If the area of an equilateral triangle is 36√3 cm² , then find its perimeter.

• 36 cm

• 36 cm²

• 12 cm

• 14 cm²

Answer explanation

Perimeter of an equilateral triangle is 3a. Here, a = side Let's first find the side of triangle. Area of an equilateral triangle = √3/4 × a² 36√3 = √3/4 × a² 36√3 × 4/√3 = a² 144 = a² a = 12 Perimeter = 3a = 3 × 12 = 36 cm

Tags

CCSS.6.G.A.1

Sides of a triangle are 30 cm, 32 cm and 34 cm long. Find the area of the triangle.

• 96√63 cm²

• 96√35 cm²

• 96 cm²

• 96√21 cm²

Answer explanation

Tags

CCSS.6.G.A.1