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satela [25.4K]
3 years ago
12

The area of the triangle is 1560 m2TrueFalse

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

FALSE

Step-by-step explanation:

Area of triangle is given by formula :

Area\ =\ \frac{1}{2}\left(base\right)\left(Altitude\right)

From picture we see that Altitude = 60 m

Base = 52 + 71 = 123 m

Now plug these values into above formula:

Area\ =\ \frac{1}{2}\left(123\right)\left(60\right)

Area\ =\ \frac{1}{2}\left(15129\right)

Area\ =\ \frac{15129}{2}

Area\ =\ 7564.5

Which is different than given area 1560 m^2.

Hence answer is FALSE.

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3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point
Salsk061 [2.6K]

Given:

Consider the three point of second line are S, R, V instead of S, R, W.

A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point R to point U between angle T, R, V.

\angle VRW=(3x)^\circ

\angle TRS=(2x+18)^\circ

To find:

The m∠SRW.

Solution:

The figure according to the given information is shown below (not to scale).

From the below figure it is clear that, \angle VRW and \angle TRS are vertically opposite angles. So, their measures are equal.

3x=2x+18

Subtract 2x from both sides.

3x-2x=18

x=18

Using x=18 the measure of angle VRW is

\angle VRW=(3x)^\circ

\angle VRW=(3\times 18)^\circ

\angle VRW=54^\circ

Now,

\angle VRW+\angle SRW=180^\circ       [Linear pair]

54^\circ+\angle SRW=180^\circ

\angle SRW=180^\circ-54^\circ

\angle SRW=126^\circ

Therefore, the correct option is C.

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