Advertisements
Advertisements
рдкреНрд░рд╢реНрди
A triangle has sides 35 cm, 54 cm and 61 cm long. Find its area. Also, find the smallest of its altitudes ?
Advertisements
рдЙрддреНрддрд░
The sides of a triangle are a = 35 cm, b = 54 cm and c = 61 cm
Now, perimeter a + b + c = 25
`⇒S= 1/2(35+54+61)`
⇒s= 75cm
By using heron’s formula
∴Area of triangle =`sqrt(s(s-a)(s-a)(s-c))`
`=sqrt(75(75-35)(75-54)(75-61))`
`sqrt(75(40)(21)(14))=93914cm^2`
∴ The altitude will be a smallest when the side corresponding to it is longest Here, longest side is 61 cm
∴ area altitude will be a smallest when the side corresponding to is longest here' longest side is 61 cm
∴area of Δ le = `1/2xxbxxh= 1/2xx base xx height `
`∴1/2xxhxx61= 939.14`
`⇒= (939.14xx2)/61= 30.79 cm`
ЁЭР╗ЁЭСТЁЭСЫЁЭСРЁЭСТ ЁЭСбтДОЁЭСТ ЁЭСЩЁЭСТЁЭСЫЁЭСФЁЭСбтДО ЁЭСЬЁЭСУ ЁЭСбтДОЁЭСТ ЁЭСаЁЭСЪЁЭСОЁЭСЩЁЭСЩЁЭСТЁЭСаЁЭСб ЁЭСОЁЭСЩЁЭСбЁЭСЦЁЭСбЁЭСвЁЭССЁЭСТ ЁЭСЦЁЭСа 30.79 ЁЭСРЁЭСЪ
APPEARS IN
рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди
There is a slide in the park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN” (see the given figure). If the sides of the wall are 15m, 11m, and 6m, find the area painted in colour.
An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.
The perimeter of a triangular field is 240 dm. If two of its sides are 78 dm and 50 dm, find the length of the perpendicular on the side of length 50 dm from the opposite vertex.
The perimeter of an isosceles triangle is 42 cm and its baše is (32) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.
Determine whether the sets of points are collinear?
(a, b + c), (b, c + a) and (c, a + b)
Find the area of triangle AGF
The area of a triangle is 5 sq. units. Two of its vertices are (2, 1) and (3, −2). The third vertex is (x, y) where y = x + 3. Find the coordinates of the third vertex.
An isosceles right triangle has area 8 cm2. The length of its hypotenuse is ______.
The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m and 15 m. The advertisements yield an earning of Rs 2000 per m2 a year. A company hired one of its walls for 6 months. How much rent did it pay?
The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.
