Question

the legs of a right triangle are in the ratio 3:4 if its area is 1350 m2 then its smaller leg is​

Answer 1

Answer:

5

Step-by-step explanation:

triangle has three sides if two sides of it are 3 and 4 then definitely the third side will be 5 because it by pythagoras theorem S3= square root S1 square+S2 square

Answer 2

Answer:

smaller leg = 45 m

larger leg = 60 m

Step-by-step explanation:

area of right angle triangle is = 1350 sq m

sides are in the ratio of 3:4

area of triangle = 1/2 × base × height

1350 = 1/2 × 3x × 4x

$1350 \times 2 = {12x}^{2} \\ \frac{1350 \times 2}{12} = {x}^{2} \\ \frac{1350}{6} = {x}^{2} \\ 225 = {x}^{2} \\ x = \sqrt{225} \\ x = 15$

smaller side is 3x = 3 × 15 = 45 m

larger side is 4x = 4 × 15 = 60 m

hope you get your answer