the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base of the triangle? pls help this is a important question
2 answers:
Solution:
<u>Note that:</u>
Area of triangle = 6 3/8 yd² Height of triangle = 2 1/2 Area of triangle = 1/2 x base x altitude <u>Use the formula to find the base of the triangle.</u>
1/2 x base x altitude = 6 3/8 yd² => 1/2 x base x 2 1/2 = 6 3/8 yd² => 1/2 x base x 5/2 = 6 3/8 yd² => 5/4 x base = 6 3/8 yd² => base = 6 3/8 ÷ 5/4 yd => base = 51/8 x 4/5 yd => base = 51/2 x 1/5 yd => base = 51/10 yd The length of the base is 51/10 yards.
Area of triangle = 6 3/8 yards² Height of triangle = 2 1/2 yards
We are already given the values, Let's plug them and solve for x i.e base
Convert the mixed number to an improper fraction
Multiply both sides of the equation by 2
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