Anjali draws a triangle with sides 9 cm, 40 cm and 41 cm.
She claims it is right-angled.
Find its area using Heron's formula (in $cm^{2}$ ) and confirm.

Question

Anjali draws a triangle with sides 9 cm, 40 cm and 41 cm. She claims it is right-angled. Find its area using Heron's formula (in cm^2) and confirm.

Accepted Answer

180. s = 9+40+41/2 = 45. Area = √45 · 36 · 5 · 4 = √32400 = 180 cm^2. Since 9^2+40^2 = 81+1600 = 1681 = 41^2, it is right-angled and 1/2 · 9 · 40 = 180 also.

Anjali draws a triangle with sides 9 cm, 40 cm and 41 cm.
She claims it is right-angled.
Find its area using Heron's formula (in $cm^{2}$ ) and confirm.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Area of a Triangle by Heron's Formula practice

Anjali draws a triangle with sides 9 cm, 40 cm and 41 cm.She claims it is right-angled.Find its area using Heron's formula (in cm2) and confirm.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Area of a Triangle by Heron's Formula practice

Anjali draws a triangle with sides 9 cm, 40 cm and 41 cm.
She claims it is right-angled.
Find its area using Heron's formula (in $cm^{2}$ ) and confirm.