Archive for the 'triangle area' Category

How do you find the area of a triangle based on a linear equation?

"Find the area of the triangle formed by the axis coordinates and the linear equation 5x + 4y + 20 = 0."
The answer is 10 square units.
How do I reach that answer? I know that the formula for the area of a triangle is (1/2)bh but it’s a little more complicated here; I seriously have [...]

How do you find the surface area and lateral area of a triangle?

How do you find the surface area and lateral area of a triangle?
I have a Math final tomarrow.And I need to know the LA and SA of a triangle. Anyone know?
LA= p(perimeter)h(height)
LA=ph
SA= LA+2B
SA= LA(ph)+2( area of one base)
hope this helps

What is the area of an equilaterial triangle in a circumcircle with known radius?

I have an equilateral triangle with points touching the edges of a circle (a circumcircle in fact) of known radius r. What is a formula for the area of this triangle?
A = sqr(3)/4 * s^2
you have to find the side of the triangle
side = sqr(3)*r
A = sqr(3)/4 * (sqr(3)*r)^2

Find area of triangle using semicircles?

Semicircles drawn on each leg of a triangle have areas of 9pi, 16pi, and 25pi. What is the area of the triangle?
the legs of the triangle are diameters of these semicircles. the area of the full circle is double the semicircle, so we have 18pi, 32pi, and 50pi areas. the area of a cirlce is [...]

How do I find the area of a triangle?

A triangle has an area of 110ftsquared. If the base is 14 ft., what is the legth of the legs? Round your answer to the nearest tenth.
A = (Base * Height ) /2
110 = (14 * x) / 2
X = 2 * 110 /14 = 15.7 is the HEIGHT
To find the sides length, you [...]

Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 4?

This is problem # 26 of Larson Calculus (8th edition) or # 24 of the sixth edition. Part A asks to write the area as a function of h and part b asks to write the area as a function of alpha (the angle). Part C asks to identify the triangle of maximum area. I [...]

How to find the area of an isosceles triangle given only the legs?

The legs of an isosceles triangle are both 10m, with angle theta in between them. How would you:
a. Write the area of the triangle as a function of theta/2
b. Write the area of the triangle as a function of theta and determine the value of theta such that the area is maximum.
This question is [...]

How does the area of one triangle compare to the area of the larger triangle?

I have a large equilateral triangle inscribed with another equilateral triangle and inside that is a third equilateral triangle .
How does the area of the smaller triangle compare to the area of the large triangle?
Thank you
The smaller triangle is 1/16 the larger triangle.

Finding the area of a triangle based on vertices lines?

I can’t solve this, could someone please help me?
16) The lines: x-2y=2, -3x+y=4, and 2x+y=4 intersect in pairs to determine the vertices of a triangle. Find the area of the triangle.
Draw all three lines on x-y plane, and find all intersection points: (0,4), (2,0) and (-2,-2).
Since the triangle can be split into two triangles with [...]

An isosceles triangle of area 3072 contains 3 non-overlapping circles, each of diameter 30. What is its base?

Find the length of the base of an isosceles triangle if has area 3072 and it contains 3 non-overlapping circles each with diameter 30.
@Elio D: good that you drew a picture. The answer I got is different from yours. Perhaps you should check again.
The smallest equilateral triangle which is tangent to 3 [...]