Question

the sides of a right triangle are 5cm,,12cmand13cm .then the area is​ Step - by - Step - Explanation Assume that , ABC be a Right triangle. Where, AB = 5 cm BC = 12 cm CA = 13 cm Formula Method. ★ Area of right triangle = 1/2 × base × height Here, Base = AB = 5 cm Height = BC = 12 cm So, keep all values, ➡ Area of right triangle ABC = 1/2 × 5 × 12 ➡ Area of right triangle ABC = 5 × 6 ➡ Area of right triangle ABC = 30 cm² _________________________ Using Heron's Formula Let, ➡Semi perimeter (S) = (AB + BC + CA)/2 So, ➡ Semi perimeter (S) = (5+12+13)/2 ➡ Semi perimeter (S) = 30/2 ➡ Semi perimeter (S) = 15 cm Heron's Formula, ★Area = √[S(S-AB)(S-BC)(S-CA)] keep all above values ➡ Area = √[15(15-5)(15-12)(15-13)] ➡Area = √[15×10×3×2] ➡Area = √(900) ➡Area = 30 cm² _________________________ Hence Area of right triangle will be = 30cm² ________________hi

Answer 1

Answer:

,

ABC be a Right triangle.

Where,

AB = 5 cm

BC = 12 cm

CA = 13 cm

Formula Method.

★ Area of right triangle = 1/2 × base × height

Here,

Base = AB = 5 cm

Height = BC = 12 cm

So, keep all values,

➡ Area of right triangle ABC = 1/2 × 5 × 12

➡ Area of right triangle ABC = 5 × 6

➡ Area of right triangle ABC = 30 cm²

_________________________

Using Heron's Formula

Let,

➡Semi perimeter (S) = (AB + BC + CA)/2

So,

➡ Semi perimeter (S) = (5+12+13)/2

➡ Semi perimeter (S) = 30/2

➡ Semi perimeter (S) = 15 cm

Heron's Formula,

★Area = √[S(S-AB)(S-BC)(S-CA)]

keep all above values

➡ Area = √[15(15-5)(15-12)(15-13)]

➡Area = √[15×10×3×2]

➡Area = √(900)

➡Area = 30 cm²

_________________________

Hence

Area of right triangle will be = 30cm²

________________