Calculating the perimeter of a right triangle - GMAT Quantitative

The hypotenuse of a 30-60-90 triangle measures twice its shorter leg; its longer leg measures times its shorter leg. Given one side length alone, there is no indication which of the three sides it measures; but given two, one of which is twice the other, as is the case here (10 and 20), 10 must be the shorter leg and 20 the hypotenuse. The longer leg is therefore , and the perimeter is

.

Therefore, both statements together are sufficent but neither alone is sufficient.

We can use the Pythagorean Theorem to calculate the hypotenuse of the triangle by setting in this formula:

The perimeter is feet.

Divide by 3 to convert to yards:

yards

We can use the Pythagorean Theorem to calculate the length of the second leg in yards of the triangle by setting in this formula:

The perimeter of the triangle is yards is

yards. Multiply this by 36 to covert to inches:

inches.

We are given two sides of the right triangle, so in order to calculate the perimeter we must first find the length of the third side, the hypotenuse, using the Pythagorean theorem:

Now that we know the length of the third side, we can add the lengths of the three sides to calculate the perimeter of the right triangle:

As you see that a right triangle as sides 3 and 4, you should always remember that, this right triangle is a Pythagorean Triple, in other words, its sides will be in the ratio where is a constant, this will save you a lot of time. Here we can say that the hypotenuse will be 5. Therefore, the circumference will be . To get the final answer, we should just divide the circumference by 2 and add the perimeter, being or 12.

The hypotenuse of a 30-60-90 triangle measures twice its shorter leg; its longer leg measures times its shorter leg. Given one side length alone, there is no indication which of the three sides it measures; but given two, one of which is twice the other, as is the case here (10 and 20), 10 must be the shorter leg and 20 the hypotenuse. The longer leg is therefore , and the perimeter is

.

Therefore, both statements together are sufficent but neither alone is sufficient.

A triangle is a right triangle. To find the perimeter, we must add up all the sides of the triangle.

We can use the Pythagorean Theorem to calculate the hypotenuse of the triangle by setting in this formula:

The perimeter is feet.

Divide by 3 to convert to yards:

yards

We can use the Pythagorean Theorem to calculate the length of the second leg in yards of the triangle by setting in this formula:

The perimeter of the triangle is yards is

yards. Multiply this by 36 to covert to inches:

inches.

We are given two sides of the right triangle, so in order to calculate the perimeter we must first find the length of the third side, the hypotenuse, using the Pythagorean theorem:

Now that we know the length of the third side, we can add the lengths of the three sides to calculate the perimeter of the right triangle:

As you see that a right triangle as sides 3 and 4, you should always remember that, this right triangle is a Pythagorean Triple, in other words, its sides will be in the ratio where is a constant, this will save you a lot of time. Here we can say that the hypotenuse will be 5. Therefore, the circumference will be . To get the final answer, we should just divide the circumference by 2 and add the perimeter, being or 12.

The hypotenuse of a 30-60-90 triangle measures twice its shorter leg; its longer leg measures times its shorter leg. Given one side length alone, there is no indication which of the three sides it measures; but given two, one of which is twice the other, as is the case here (10 and 20), 10 must be the shorter leg and 20 the hypotenuse. The longer leg is therefore , and the perimeter is

.

Therefore, both statements together are sufficent but neither alone is sufficient.

A triangle is a right triangle. To find the perimeter, we must add up all the sides of the triangle.

We can use the Pythagorean Theorem to calculate the hypotenuse of the triangle by setting in this formula:

The perimeter is feet.

Divide by 3 to convert to yards:

yards

We can use the Pythagorean Theorem to calculate the length of the second leg in yards of the triangle by setting in this formula:

The perimeter of the triangle is yards is

yards. Multiply this by 36 to covert to inches:

inches.

We are given two sides of the right triangle, so in order to calculate the perimeter we must first find the length of the third side, the hypotenuse, using the Pythagorean theorem:

Now that we know the length of the third side, we can add the lengths of the three sides to calculate the perimeter of the right triangle:

As you see that a right triangle as sides 3 and 4, you should always remember that, this right triangle is a Pythagorean Triple, in other words, its sides will be in the ratio where is a constant, this will save you a lot of time. Here we can say that the hypotenuse will be 5. Therefore, the circumference will be . To get the final answer, we should just divide the circumference by 2 and add the perimeter, being or 12.

The hypotenuse of a 30-60-90 triangle measures twice its shorter leg; its longer leg measures times its shorter leg. Given one side length alone, there is no indication which of the three sides it measures; but given two, one of which is twice the other, as is the case here (10 and 20), 10 must be the shorter leg and 20 the hypotenuse. The longer leg is therefore , and the perimeter is

.

Therefore, both statements together are sufficent but neither alone is sufficient.

A triangle is a right triangle. To find the perimeter, we must add up all the sides of the triangle.