Question

The area of a right tringle whose base is 3cm is 6cm Find the other two side of the right tringle​

Answer 1

Answer:

Sides of the triangle are 3cm, 4 cm and 5 cm.

Step-by-step explanation:

Area of right triangle = 1/2 x base x height

6 cm^2 = 1/2 x 3 x height

Height = 4 cm

Now,

In right triangle,

(Height)^2 + base^2 = hypotenuse^2

4^2 + 3^2 = hypotenuse^2

16 + 9 = hypotenuse^2

25 = hypotenuse^2

Hypotenuse= 5 cm.

Hence,

Base= 3cm

Height= 4 cm

Hypotenuse= 5cm.

Sides of triangle are 3 cm, 4 cm , 5 cm.

Answer 2

Answer:

Other sides of the triangle are 4 cm and 5cm

Step-by-step explanation:

given,

ΔABC

∠ABC=90°

BC=3cm

Area of ΔABC= 6cm²

=0.5×base×height=6

=0.5×BC×AB=6

=0.5×3×AB=6

=1/2AB=6/3

=AB=2×2=4cm

by pythagoras theorem,

AC²=AB²+BC²

=AC²=4²+3²

=AC²=16+9

=AC=√25=5cm

so, AB=4cm and AC=5cm

Other sides of the triangle are 4 cm and 5cm