Question

(10) The legs of a right triangle are in the ratio 3 : 4 and its area is 1014 cm. Find the lengths of its sides and its perimeter.​

Answer 1

Step-by-step explanation:

Let it's leg be 3x and 4x. Then,

according to question,

Area of right angle triangle = 1/2 × 3x × 4x

1,014 = 6x^2

1,014/6 = x^2

√169 = x

13 cm = x

Hence, first side = 3×13 = 39 cm

second side = 4×13 = 52 cm.

We know that

H^2 = P^2 + B^2

H^2 = 39^2 + 52^2

H^2 = 1521 + 2704

H = √4225

H = 65 cm.

Hence, the hypotenuse is 65 cm.

Perimeter of triangle = sum of all side

so,

perimeter = 39+52+65 cm

perimeter of triangle = 156 cm

Answer 2

Step-by-step explanation:

Step-by-step explanation:Let it's leg be 3x and 4x. Then,

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^2

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = x

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cm

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know that

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2H^2 = 39^2 + 52^2

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2H^2 = 39^2 + 52^2H^2 = 1521 + 2704

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2H^2 = 39^2 + 52^2H^2 = 1521 + 2704H = √4225

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2H^2 = 39^2 + 52^2H^2 = 1521 + 2704H = √4225H = 65 cm.

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2H^2 = 39^2 + 52^2H^2 = 1521 + 2704H = √4225H = 65 cm.Hence, the hypotenuse is 65 cm.

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2H^2 = 39^2 + 52^2H^2 = 1521 + 2704H = √4225H = 65 cm.Hence, the hypotenuse is 65 cm.Perimeter of triangle = sum of all side

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2H^2 = 39^2 + 52^2H^2 = 1521 + 2704H = √4225H = 65 cm.Hence, the hypotenuse is 65 cm.Perimeter of triangle = sum of all sideso,

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2H^2 = 39^2 + 52^2H^2 = 1521 + 2704H = √4225H = 65 cm.Hence, the hypotenuse is 65 cm.Perimeter of triangle = sum of all sideso, perimeter = 39+52+65 cm

Step-by-step explanation:Let it's leg be 3x and 4x. Then,according to question,Area of right angle triangle = 1/2 × 3x × 4x1,014 = 6x^21,014/6 = x^2√169 = x13 cm = xHence, first side = 3×13 = 39 cmsecond side = 4×13 = 52 cm.We know thatH^2 = P^2 + B^2H^2 = 39^2 + 52^2H^2 = 1521 + 2704H = √4225H = 65 cm.Hence, the hypotenuse is 65 cm.Perimeter of triangle = sum of all sideso, perimeter = 39+52+65 cm perimeter of triangle = 156 cm