The area of triangle is equal to the area of a rectangle whose length

1.	The area of triangle is equal to the area of a rectangle whose length and breadth are 20 cm and 15 cm respectively. Calculate the height of the triangle if its base measures 30 cm.
Answer» Given :Length of the rectangle = 20 cm Breadth of the rectangle = 15 cm Base of the triangle = 30 cm Area of the rectangle = Area of the triangle Length x breadth = 1/2 × base × height 20 × 15 = 12 × 30 × height ∴ height = \(\frac {20\times15}{15} = 20 cm\) area of triangle =area of rectangle 1/2×base ×height=length ×breadth :for rectangle: breadh =15 length=20 :for triangle : base = 30 1/2×30×h = 20×15 after solving RHS and LHS 15×h=300 h =300/15 answer = h = 20

The area of triangle is equal to the area of a rectangle whose length and breadth are 20 cm and 15 cm respectively. Calculate the height of the triangle if its base measures 30 cm.

Answer»

Given :Length of the rectangle = 20 cm

Breadth of the rectangle = 15 cm

Base of the triangle = 30 cm

Area of the rectangle = Area of the triangle

Length x breadth = 1/2 × base × height

20 × 15 = 12 × 30 × height

∴ height = \(\frac {20\times15}{15} = 20 cm\)

area of triangle =area of rectangle

1/2×base ×height=length ×breadth

:for rectangle:

breadh =15

length=20

:for triangle :

base = 30

1/2×30×h = 20×15

after solving RHS and LHS

15×h=300

h =300/15

answer =

h = 20