Question

the perimetre of right triangle is 30cm. its hypotuense is 13 cm and baseis 5cm find the area of right triangle​

Answer 1

Answer:

30cm^2

Step-by-step explanation:

perimeter=30cm

hypotenuse=13cm

base=5cm

hypotenuse^2=base^2+height^2 (pythagoras theorem)

13^2=5^2+h^2

h=12cm

area of triangle=1/2×base×height

area=1/2×5×12

area=30cm^2

Answer 2

Answer:

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Step-by-step explanation:

Method 1 :

Given :

Perimeter of the right triangle is 30cm

According to the Image

the perimeter of the triangle is = Height + Base + Hypotenuse

30 = 13 + 5 + Height

Height + 18 = 30

Height = 30-18

Height = 12cm

Method 2 :

According to the Pythogorus Theorem :

(Hypotenuse)² = (Adjacent)² + (Opposite)²

here,

Hypotenuse = Hypotenuse

Adjacent = Base

Opposite = Height

(Hypotenuse)² = (Adjacent)² + (Opposite)²

13² = 5² + (opposite)²

169 = 25 + (opposite)²

(opposite)² = 169 -25

(opposite)² = 144

opposite side = √144

opposite side = 12 cm

Area of the triangle = 1/2 x Base x Height

Area of the triangle = 1/2 x 5 x 12

Area of the triangle = 5 x 6 = 30 cm²

Area of the triangle = 30 cm²