# HELP ME HELP ME GEOMETRY PROBLM!!!

posted by .

In triangle ABC, m<A = 90, m<B=75, and BC = \sqrt{3}. What is the area of ABC? Express your answer as a common fraction.

HELP THIS IS SO HARD HHELP MEE!!! EXplain too please!

• HELP ME HELP ME GEOMETRY PROBLM!!! -

You have a right-angled triangle so we can use the formula
(1/2) base x height

Since you want the answer as a common fraction, I will assume that you need "exact" values.

you state that BC = \sqrt{3}
I will assume that is meant to say √3
so cos75 =base/√3
base = √3cos75
and sin75 = height/√3
height = √3sin75

area = (1/2)(√3sin75)(√3cos75)
= (3/2)sin75cos75)
(recall sin 2A = 2sinAcosA)
= (3/2)(2sin75cos75)/2
= (3/4) sin 150

sin 150 = sin30 ---- one of the basic identities

area = (1/3) sin150
= (3/4)sin30
= (3/4)(1/2) = 3/8

• HELP ME HELP ME GEOMETRY PROBLM!!! -

thanks alot

• HELP ME HELP ME GEOMETRY PROBLM!!! -

THANK YOU !!!!!!!

• HELP ME HELP ME GEOMETRY PROBLM!!! -

You don't even need trig for this. Reflect B, draw and altitude from B to B'C and solve

## Similar Questions

1. ### Geometry

Given: X, Y, and Z are the midpoints of the sides of triangle ABC. Find rhe ratio of the area of triangle XYZ to the area of triangle ABC
2. ### geometry!!!!!!

ABC is an isosceles triangle with AB = BC. The circumcircle of ABC has radius 8. Given further that AC is a diameter of the circumcircle, what is the area of triangle ABC?
3. ### Geometry

ABC is a triangle with area equal to 20 . The incircle of triangle ABC has radius equal to 2 and the circumcircle of triangle ABC has radius equal to 6 . If sinA+sinB+sinC=a/b , where a and b are coprime positive integers, what is …
4. ### Geometry

ABC is a right angled triangle with ∠ABC=90∘ and side lengths AB=24 and BC=7. A semicircle is inscribed in ABC, such that the diameter is on AC and it is tangent to AB and BC. If the radius of the semicircle is an improper …
5. ### Hard Geometry Problem

Hi guys. I need a lot of help on this. "Equilateral triangle ABC has centroid G. Triangle A'B'C' is the image of triangle ABC upon a dilation with center G and scale factor -2/3. Let K be the area of the region that is within both …
6. ### Geometry

Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if (triangle) …
7. ### sanket study centre

In triangle ABC p,q,r such that they lie interior of triang ABC and AP=AR and all the three sides of triangle PQR are scalan if area of triangle PQR is 100 then find area of triangle ABC
8. ### Geometry

Triangle $ABC$ is isosceles with point $A$ at the point $(2, 7)$, with point $B$ at $(-2, 0)$ and with point $C$ at $(3, -1).$ Triangle $ABC$ is reflected over $\overline{BC}$ to form $\triangle A'BC$. Triangle $A'BC$ is reflected …
9. ### maths

DRAW LOCUS OF POINT SO THAT IT IS EQUIDISTANT FROM BC & CA . ... constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch ... 16) AB = 3.2cm BC = 8.4cm The area of the triangle ABC …
10. ### geometry

Isosceles $\triangle{ABC}$ has a right angle at $C$. Point $P$ is inside $\triangle{ABC}$, such that $PA=11$, $PB=7$, and $PC=6$. Legs $\overline{AC}$ and $\overline{BC}$ have length $s=\sqrt{a+b\sqrt{2}}$, where $a$ and $b$ are positive …

More Similar Questions