Find the missing measurement for each triangle.
1. A= 16 in squared, b= 8 in., h=? My answer 4 in.
2. A= 20 m squared, b=___, h = 4 m. My answer b=10.
3. A=____, b=6.4ft. h=7.6ft My answer A=24.32ft square.
4. A=14 cm squared, b=2cm, h=___ My answer 14cm.
5. A=36mi square, b=___, h= 12 mi My answer b=6.
6. A=__,b=12mm, h=7.5mm My answer A= 45 mm square.
7. Can you find the base and height measurements for a triangle if you know that the area is 22 square units? Explain why or why not.
Can you please correct my answers.. Thanks😊
1-6 are ok
#7 is no. You can divide 22 up into a product in many different ways.
How did u find the answers?
A=?, b= 12 mm, h= 7.5 mm
1. To find the missing height (h), you can use the formula for the area of a triangle: A = (b * h) / 2. Rearranging this formula, we get h = (2 * A) / b. Plugging in the given values, we have h = (2 * 16 in²) / 8 in. Simplifying, we find h = 4 in, which is the correct answer. Your answer is correct.
2. To find the missing base (b), you can again use the formula for the area of a triangle: A = (b * h) / 2. Rearranging this formula, we get b = (2 * A) / h. Plugging in the given values, we have b = (2 * 20 m²) / 4 m. Simplifying, we find b = 10 m, which is the correct answer. Your answer is correct.
3. In this case, we are given the base (b) and height (h) and asked to find the missing area (A). We can use the formula for the area of a triangle: A = (b * h) / 2. Plugging in the given values, we have A = (6.4 ft * 7.6 ft) / 2. Simplifying, we find A = 24.32 ft², which is the correct answer. Your answer is correct.
4. We are given the area (A) and the base (b) and asked to find the missing height (h). We can rearrange the formula for the area of a triangle: A = (b * h) / 2, to solve for h. Plugging in the given values, we have 14 cm² = (2 cm * h) / 2. Simplifying, we find h = 14 cm, which is the correct answer. Your answer is correct.
5. Similar to the previous questions, we can use the formula for the area of a triangle: A = (b * h) / 2. Rearranging this formula, we get b = (2 * A) / h. Plugging in the given values, we have b = (2 * 36 mi²) / 12 mi. Simplifying, we find b = 6 mi, which is the correct answer. Your answer is correct.
6. We are given the base (b) and height (h) and asked to find the missing area (A). We can use the formula for the area of a triangle: A = (b * h) / 2. Plugging in the given values, we have A = (12 mm * 7.5 mm) / 2. Simplifying, we find A = 45 mm², which is the correct answer. Your answer is correct.
7. No, we cannot find the base and height measurements for a triangle if we only know the area. The area of a triangle can have multiple combinations of base and height measurements that would result in the same area. Therefore, without additional information, we cannot uniquely determine the base and height of a triangle given only the area.