Question

find the area of these if the perpendicular side of the right angle triangle are 8cm and 6cm​

Answer 1

Area Of Triangle = 24 cm²

Step-by-step explanation:

GIVEN

• Base = 6 cm

• Height = 8 cm

___________________________

TO FIND

• Area Of Triangle

___________________________

Pythagoras Theorem

We know that,

• Hypotenuse² = Base² + Height²

• Hypotenuse² = Base² + Height²

• Hypotenuse² = 6² + 8²

• Hypotenuse² = 36 + 64

• Hypotenuse² = 100

• Hypotenuse = √100

• Hypotenuse = 10

• Hypotenuse = 10 cm

Hypotenuse = 10 cm

___________________________

Area Of Triangle

We know that,

• Area Of Triangle = [ P ( P - a ) ( p - b ) ( p - c ) ]

• P = Half Of Perimeter = a + b + c / 2

Here,

• a = 6

• b = 8

• c = 10

• P = Half Of Perimeter = 6 + 8 + 10 / 2

• P = Half Of Perimeter = 6 + 8 + 10 / 2

• P = Half Of Perimeter = 24 / 2

• P = Half Of Perimeter = 12

• P = Half Of Perimeter = 12 cm

P = Half Of Perimeter = 12 cm

• Area Of Triangle =√ [ 12 ( 12 - 6 ) ( 12 - 8 ) ( 12 - 10 ) ]

• Area Of Triangle = √[ 12 × 6 × 4 × 2 ]

• Area Of Triangle = √576

• Area Of Triangle = 24

• Area Of Triangle = 24 cm²

Area Of Triangle = 24 cm²

Answer 2

Given

• Base of a triangle = 6 cm
• Height of a triangle = 8 cm

To find

• Area of the triangle

Solution

• Area of triangle = 1/2 × Base × Height
• Area of triangle = 1/2 × 8 × 6
• Area of triangle = 4 × 6
• Area of triangle = 24

Hence, the area of triangle is 24 cm²

Learn more

• Area of rectangle = Length × Breadth
• Area of triangle = 1/2 × Base × Height
• Area of parallelogram = Base × Height
• Area of circle = πr²
• Perimeter of rectangle = 2(Length + Breadth)
• Perimeter of circle = 2πr