Triangles

Geometry Level 2

A right triangle ABC, have A the hypotenuse, B the greater cateto and C the lower cateto, measuring 8cms.

The angle A is the great angle. The angle C have 30 degrees.

Find the hypotenuse measure.

10 16 20 15

Victor Paes Plinio by Victor Paes Plinio , 21, Brazil

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Syed Haydar
Apr 8, 2014

8/sin(30

1 Helpful 0 Interesting 0 Brilliant 0 Confused

my answer is 16, but there is no 16 in the choices, only 16.

Bryan Dayupay - 6 years, 12 months ago

AB=8CM sin(30)\1=8\AC AC=(8x1)\sin(30) AC=16CM

Hamsa Yousef - 7 years ago
Megha Pardhi
Aug 3, 2014

answer answer

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ameya Salankar
Apr 5, 2014

I don't know what a cateto is, but I made a guess & I wasn't wrong!

This problem is the exact statement of 3 0 ∘ − 6 0 ∘ − 9 0 ∘ 30^\circ - 60^\circ - 90^\circ theorem which states that if in a triangle, the angles are 3 0 ∘ , 6 0 ∘ , 30^\circ, 60^\circ, & 9 0 ∘ 90^\circ , then the hypotenuse is twice the shortest side.

⇒ \Rightarrow The answer is 2 × 8 = 16 2 \times 8 = \boxed{16} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I modified the problem. I forget to say what is the great angle, the great angle is the A in opposite side of the hypotenuse.

Victor Paes Plinio - 7 years, 2 months ago

Log in to reply

What does cateto means?

Pranjal Jain - 6 years, 7 months ago

Log in to reply

I assumed it was synonymous with side.

Sam Maltia - 5 years, 7 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...