Practice 2 – Application of Pythagorean Theorem
Questions :
Calculate the hypotenuse of a right triangle with sides 7in and 24in long.
If the hypotenuse of a right triangle is 8 inches long and one of the sides measures 2 inches, how long is the other side?
If one side of an equilateral triangle measures 6 cm, then find the measure of its height.
The sides of a triangle measure 13 in, 12 in and 5 in. Prove that it’s a right angle triangle.
Explanations :
Step 1 : Draw a diagram.
Step 2: Use the Pythagorean theorem to find the answer.
Step 1 : Assign letters to the sides.
Side a=2 in
Side b= ?
c=8 in
Step 2: Use the Pythagorean theorem to find the answer.
Step 1 : Draw a diagram. All 3 sides of an equilateral triangle are the same.
Step 2: Use the Pythagorean theorem to find the answer.
Step 1 : Think – what is the property of the sides of a right triangle?
They follow the Pythagorean theorem.
That means square of the longest side is the sum of the squares of the other 2 sides.
Lets’ give some name to the sides:
a=12 in
b=5 in
c=13 in
Step 2: Now prove that
