Question

△BCD is a right triangle. The length of the hypotenuse is 19cm. The length of one of the legs is 13 cm. What is the length of the other leg? (Answer must be a decimal rounded to the nearest tenth.)

Answer 1

Answer:

13.86 to the nearest tenth.

Step-by-step explanation:

A right angled triangle has three sides and it also has three angles. One of the angles is always 90 degrees while the other two angles are complimentary angles. This means that they add up to give 90 degrees.

The longest side is called the hypotenuse.

One of the shorter side is called the opposite.

The other shorter side is called the adjacent.

From the information given,

The length of the hypotenuse = 19cm

The length of the opposite side = 13cm

The length of the adjacent side = xcm

Applying Pythagoras theorem,

Hypothenuse ^2 = adjacent^2 + opposite ^2

19^2 = x^2 + 13^2

x^2 = 361 - 169 = 192

x = √192 = 13.8564

= 13.86 to the nearest tenth.