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Ira Lisetskai [31]
3 years ago
6

The base of a triangle is 18 cm and its height is 7w-1 cm. Find the expression for the triangles area

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0

Answer:

Area = 9(7w -1) cm²

Step-by-step explanation:

Area of a triangle is given by the expression,

Area = \frac{1}{2}(\text{Base})(\text{height})

From the picture attached,

Base of the triangle = 18 cm

Height of the triangle = Vertical distance of the third vertex from the base joining other two vertices = (7w - 1)

Area = \frac{1}{2}(18)(7w-1)

        = 9(7w - 1) square cm

Therefore, expression for the area of the given triangle will be,

Area = 9(7w -1) cm²

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Answer:

m<1: 51

m<2: 61

m<3: 29

Step-by-step explanation:

m<1 = 51, because to find the 3rd angle, you need to add the other two angles and then subtract 180 from that answer.

61 + 68 = 129

180 - 129 = 51

m<2 = 61, because it's a vertical angle, meaning that the angle that's opposite to it exactly, is the same. So since the angle opposite to m<2 is 61, that's what the answer would be.

m<3 = 29, because all you need to do is add 90 and 61, and then subtract 180 by the answer. I got 90 as one of the angle measurements because there's a right triangle, meaning it's 90. Then since we already know what angle 2 is (61) then all you need to do is add:

90 + 61 = 151

Then subtract:

180 - 151 = 29

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