Question

NEED THESE ASAP: You have an isosceles triangle where the two legs form a 90 degree angle. One of these legs is 2cm. What is the hypotenuse of the triangle? Express your answer using two decimal places only.

Why would you make the size of one of the sides of a right triangle if its other side is 12cm and the hypotenuse is 20cm?​

Answer 1

Answer:

1) 2.83 cm

2) 16 cm

Step-by-step explanation:

1)

A isosceles right triangle has two 45° angles and a 90° angles. The legs are congruent.

If one leg measures 2 cm, then both legs measure 2 cm.

Then we use the Pythagorean theorem to find the hypotenuse.

a² + b² = c²

(2 cm)² + (2 cm)² = c²

c² = 8 cm²

c = √8 cm

c = 2.83 cm

Answer: 2.83 cm

2)

a² + (12 cm)² = (20 cm)²

a² + 144 cm² = 400 cm²

a² = 256 cm²

a = 16 cm

Answer: 16 cm