Question

Construct a right angle triangle MNO, having hypotenuse, ON = 60 mm and the sum of its base and its altitude = 55 mm.

Answer 1

Answer:

Let x be the base length.

Let y be the altitude length.

x + y = 55 --> y = 55 - x ....eq1

x^2 + y^2 = 60^2....eq2

Sub eq1 into eq2:

x^2 + (55 -x)^2 = 60^2

Solve for x, and then use eq1 to solve for y.

Answer 2

Answer:

Construct a right angle triangle MNO, having hypotenuse, ON = 60 mm and the sum of its base and its altitude = 55 mm.

Step-by-step explanation:

Let x be the base length.

Let y be the altitude length.

x + y = 55 --> y = 55 - x ....eq1

x^2 + y^2 = 60^2....eq2

Sub eq1 into eq2:

x^2 + (55 -x)^2 = 60^2

Solve for x, and then use eq1 to solve for y.