Learn how to find the area of any triangle using A=base×height÷2. With 15 solved examples, all triangle types, and Heron's formula when you only have the sides.
Area of a triangle: A = base × height ÷ 2. For b=10cm and h=6cm: A=10×6÷2=30cm². The height must be perpendicular to the base — not the slant side.
s=6. A=√(6×3×2×1)=√36=6cm². Verify: 3×4÷2=6 ✓
No. Any side can be the base, but the height must be perpendicular to whichever side you choose as the base.
Yes. A triangle with b=10,h=6 (A=30) and one with b=15,h=4 (A=30) have equal area but look different.
The equilateral triangle maximizes area for a given perimeter, just like the circle does for all shapes.
A triangular roof section with base=8m and height=5m: A=8×5÷2=20m². Multiply by 2 for both sides=40m² of roofing material needed.
A triangular plot with base=50m and height=30m: A=50×30÷2=750m².
A triangular sail with base=4m and height=7m: A=4×7÷2=14m² of material.
Height is always perpendicular (90°) to the base. The slant side of a triangle is NOT the height (unless it's a right triangle where one angle is 90°).
A=b×h not b×h. The ÷2 is what makes it a triangle and not a rectangle.
If you change which side is the base, the height changes too. But the area stays the same — verify this.
No. A=b×h÷2 works for ALL triangles. For obtuse triangles, the height may fall outside the triangle, but the formula still applies.
Always squared: cm², m², km². If base and height are in cm, area is in cm².
Yes. The area stays the same regardless of which side you choose as the base, as long as you use the corresponding perpendicular height.