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miv72 [106K]
3 years ago
9

Find the missing length to the nearest tenth of a meter of the

Mathematics
1 answer:
marin [14]3 years ago
7 0

Answer:

length of the third side may be either 3.4 m or 2.8 m.

Step-by-step explanation:

Measure of two sides of a right triangle are 1.4 m and the other side is 3.1 m.

then we have to find the measure of third side.

If the third side of the triangle is its hypotenuse then

(Third side)² = (1.4)² + (3.1)²

Third side = \sqrt{(1.4)^{2}+(3.1)^{2}}

                 = \sqrt{1.96+9.61}

                 = \sqrt{11.57}

                 = 3.4 m

If the third side is one of the perpendicular sides of the triangle and 3.1 m is hypotenuse, then

(Third side)² + (1.4)² = (3.1)²

(Third side)²= (3.1)² - (1.4)²

Third side = \sqrt{(3.1)^{2}-(1.4)^{2}}

                 = \sqrt{9.61-1.96}

                 = \sqrt{7.65}

                 = 2.76 m

                 ≈ 2.8 m

Therefore, length of the third side may be either 3.4 m or 2.8 m.

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