Advertisements
Advertisements
Question
In the following figures, perimeter of ΔABC = perimeter of ΔPQR. Find the area of ΔABC.
Advertisements
Solution
Given, perimeter of ΔABC = perimeter of ΔPQR
Perimeter of APQR = 14 + 6 + 10 = 30 cm ...[∵ Perimeter of triangle = Sum of all sides]
Now, perimeter of ΔABC = AB + BC + CA
30 = AB + BC + AC
⇒ 30 = AB + 5 + 13
⇒ 30 = AB + 18
⇒ AB = 30 – 18 = 12 cm
∴ Area of ΔABC = `1/2` × Base × Height
= `1/2 xx 5 xx 12`
= 5 × 6
= 30 cm2
APPEARS IN
RELATED QUESTIONS
The length of the sides of a triangle are in the ratio 3: 4: 5. Find the area of the triangle if its perimeter is 144 cm.
The area of an equilateral triangle is 36`sqrt3` sq. cm. Find its perimeter.
The sides of a triangular field are in the ratio 5: 3: 4 and its perimeter is 180 m. Find:
- its area.
- the altitude of the triangle corresponding to its largest side.
- the cost of leveling the field at the rate of Rs. 10 per square meter.
Find the area of a triangle, whose sides are :
10 cm, 24 cm, and 26 cm
A field is in the shape of a quadrilateral ABCD in which side AB = 18 m, side AD = 24 m, side BC = 40m, DC = 50 m and angle A = 90°. Find the area of the field.
The lengths of the sides of a triangle are in the ratio 4: 5 : 3 and its perimeter is 96 cm. Find its area.
The perimeter of a triangle is 72cm and its sides are in the ratio 3:4:5. Find its area and the length of the altitude corresponding to the longest side.
The base of a triangle field and its height are in the ratio 2:5. If the cost of cultivating the field at Rs.42 per sq. m is Rs.7560, find its base and height.
Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet
The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side
