Question

The area, A, of a triangle is 15.3 square centimeters. Its base, b, is
4.5 centimeters. The formula for finding the area of a triangle
is A = 1/2bh. Write and solve an equation to find the height, h, of the
triangle.

Answer 1

The height (h) of the triangle whose area is 15.3 sq. cm with a base of 4.5 cm is: 6.8 cm.

Recall:

• Area of triangle = ½×b×h, where h = height and b = base.

Given the following:

• Area of triangle = 15.3 sq. cm
• Base (b) = 4.5 cm

To solve an equation to find the h, plug n the given values into A = ½×b×h

15.3 =  ½ × 4.5 × h

• Multiply both sides by 2

2(15.3) = 4.5(h)

30.6 = 4.5h

• Divide both sides by 4.5

30.6/4.5 = h

h = 6.8 cm

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