A right triangle is shown. The other 2 angles are 45 degrees. The length of the hypotenuse is unknown, and the lengths of the ot

Question

Natasha2012 [34]

4 years ago

12

A right triangle is shown. The other 2 angles are 45 degrees. The length of the hypotenuse is unknown, and the lengths of the ot

her 2 sides are 14 and 14. Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse? 7 cm 7 StartRoot 2 EndRoot cm 14 cm 14 StartRoot 2 EndRoot cm

Mathematics

2 answers:

Yanka [14] · Answer 1 · 2022-01-20T10:32:06+03:00

Yanka [14]4 years ago

8 0

Answer:

D

Step-by-step explanation:

mario62 [17] · Answer 2 · 2022-01-20T08:57:01+03:00

Answer:

The length of hypotenuse is $14\sqrt{2}$

Step-by-step explanation:

We are given a right angled triangle

We are also given that The length of the hypotenuse is unknown, and the lengths of the other 2 sides are 14 cm and 14 cm

Perpendicular = 14 cm

Base = 14 cm

We are supposed to find hypotenuse

We will use Pythagoras theorem

So, $Hypotenuse^2=Perpendicular^2+Base^2$

$Hypotenuse ^2 = 14^2+14^2$

$Hypotenuse = \sqrt{14^2+14^2}$

$Hypotenuse=14\sqrt{2}$

Hence The length of hypotenuse is $14\sqrt{2}$