the area of a triangle,whose base and corresponding altitude are 5 2 and 7cm is equal to the area of - Maths - Perimeter and Area

Question

the area of a triangle,whose base and corresponding altitude are 5
2 and 7cm is equal to the area of right triangle whose one of the
sides containing the right angle is 3 5cm Find the other side of
the triangle

Manbar Singh · Accepted Answer

Base of first right ∆ = 5
2 cmheight of first right ∆ = 7 cmArea of first right ∆ = 12×base×height = 12×5
2×7 = 18
2 cm2Let the base of other right ∆ = 3
5 cmLet the height of other right ∆ = x cmNow, area of other right ∆ =  12×base×height⇒Area of first right ∆ = 12×3
5×x⇒18 2 = 1 75x⇒x = 18 21
75 = 10 4 cm

the area of a triangle,whose base and corresponding altitude are 5.2 and 7cm is equal to the area of right triangle whose one of the sides containing the right angle is 3.5cm .Find the other side of the triangle