there is a visit in a school by directorate of education. girls are asked to prepare rangoli in triangular shape. dimensions of triangle ABC are 26 cm, 28 cm, 25 cm. garland is to be placed along the side of triangle PQR, which is formed by joining mid-points of sides of triangle ABC. i) find the length of garland. ii) which values are depicted here?
Answer :
We have triangle ABC , as AB = 26 cm , BC = 28 cm and CA = 25 cm
And P , Q , R are mid points of AB , BC , CA . And our diagram is , As :
We know from " Conserve of mid point theorem " . BC | | PR , AB | | QR and AC | | PQ , So
And
And
So,
Length of garland = Perimeter of triangle PQR
And
Perimeter of PQR = PQ + QP + RQ = 14 + 12.5 + 13 = 39.5 cm
So,
Length of garland = 39.5 cm ( Ans )
ii ) That depicts that decoration and cleanliness is essential part of good school .
We have triangle ABC , as AB = 26 cm , BC = 28 cm and CA = 25 cm
And P , Q , R are mid points of AB , BC , CA . And our diagram is , As :
We know from " Conserve of mid point theorem " . BC | | PR , AB | | QR and AC | | PQ , So
And
And
So,
Length of garland = Perimeter of triangle PQR
And
Perimeter of PQR = PQ + QP + RQ = 14 + 12.5 + 13 = 39.5 cm
So,
Length of garland = 39.5 cm ( Ans )
ii ) That depicts that decoration and cleanliness is essential part of good school .