Advertisements
Advertisements
Question
Two sides of a triangle are 6.4 m and 4.8 m. If the height of the triangle corresponding to 4.8 m side is 6 m;
find :
(i) area of the triangle ;
(ii) height of the triangle corresponding to 6.4 m sides.
Advertisements
Solution
ABC is the Δ in which BC = 4.8 m
AC = 6.4m and AD = 6 m
∴ area of ΔABC = `1/2 "BC" xx "AD"`
= `1/2 xx 4.8 xx 6`
= 14.4 m2
BE is height of Δ corresponding to 6.4 m
∴ `1/2 "AC" xx "BE" = 14.4`
`1/2 xx 6.4 xx "BE" = 14.4`
BE = `(14.4 xx 2)/6.4`
BE = `14.4/3.2`
= `9/2` = 4.5 m
Hence (i) 14.4 m2 (ii) 4.5 m
APPEARS IN
RELATED QUESTIONS
Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.
Find the area of a triangle, whose sides are :
10 cm, 24 cm, and 26 cm
Two sides of a triangle are 6 cm and 8 cm. If the height of the triangle corresponding to 6 cm side is 4 cm; find :
(i) area of the triangle
(ii) height of the triangle corresponding to 8 cm side.
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.
One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.
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 table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| ? | 8 m | 3 m | 17 m |
From one vertex of an equilateral triangle with side 40 cm, an equilateral triangle with 6 cm side is removed. What is the perimeter of the remaining portion?
Find the perimeter of the triangle, whose sides are 13 cm, 5 cm and 14 cm
A piece of string is 30 cm long. What will be the length of each side if the string is used to form an equilateral triangle?
