Question

The area of a right angled triangle is 600sqcm if the base of the tri exceeds the altitude by 10cm find dimensions of tri

Answer 1

Answer:

Step-by-step explanation:

→ let the altitude of the triangle =x cm

→ base = (x+10) cm

→ area = 600 sq cm

→ 1/2× base×altitude = 600

→ x(x+10)= 2*600

→ x²+10x -1200=0

→ x² +40x-30x-1200=0

→ x(x+40)-30(x+40)=0

→ (x+40)(x-30)=0

→ x+40=0 or x-30=0

→ x= -40 or x= 30

→ x should be negative

→ x=30

→ base = x+10 =30+10=40

→ by Pythagoras theorem

→ hypotenuse square = base square+ altitude square

= (40)² + (30)²

=1600+900

=2500

→ hypotenuse =50

→ three sides of a triangle

→ 30cm,40cm and 50cm.