Question

Sides of triangle are 70 cm ,80cm,90cm find the area and length of the shortest altitude (use root 5=2.23

Answer 1

Answer:

A= 70 cm

B= 80 cm

C= 90 cm

Semi-perimetre = (70+80+90)/2

= 240/2

= 120 cm

Area of ∆ = √{120(120-70)(120-80)(120-90)}

= √{120×50×40×30}

= √{4×3×10×5×10×3×10×4×10}

= 4×3×100√5

= 1200× 2.23

= 1200× 223/100

= 2676cm^2

Therefore, Area of ∆ is 2676cm^2