Does anyone know how to do this as my teacher has literally gone MIA and my classmates don’t know?

[abc3643]

REMEMBER: AREA = BASE * HEIGHT / 2

(A)
(i) Finding AREA
BASE = 8 cm
HEIGHT = 6 cm
AREA = 8 cm * 6 cm / 2 = 28 cm^2 /2 = 24 cm^2
(ii) Finding h
If you look at the triangle closely, 10 can also be the BASE with h as the corresponding HEIGHT.
But we already know the area: 24 cm^2
So: AREA = BASE * HEIGHT / 2
24 cm^2 = 10 cm * h / 2
2 * 24 cm^2 = 10 cm * h
48 cm^2 = 10 cm * h
48 cm^2 / 10 cm = h
4.8 cm = h

Before continuing, notice in (A) that we have the triangle described by 2 different pairs of BASE and HEIGHT values. I am going to write the pairs like this: {BASE, HEIGHT}
So, the first pair to get the area was {8, 6} and we got the h value from the second pair, {10, h}

That's how to solve these problems...
Use one pair where you know both values to get the area solving the (i) part, and then, because you now know the area, use the second pair which will have the h to get the h HEIGHT value in the (ii) part.

So, with that {BASE, HEIGHT} notation, I am going to quickly spell out the answers for the other problems...

(B)
The two pairs are {12, 14} and {16, h} and the units are cm.
(i) AREA = BASE * HEIGHT / 2 = 12 * 14 /2 = 12 * 7 = 84 cm^2
(ii) AREA = 84 cm^2 = BASE * HEIGHT / 2 = 16 cm * h / 2
So, 2 * 84 cm^2 = 16 cm * h.
176 cm^2 = 16 cm * h
176 cm^2 / 16 cm = h
11 cm = h

(C)
The two pairs are {24, 18} and {20, h} and the units are cm.
(i) AREA = BASE * HEIGHT / 2 = 24 * 18 / 2 = 24 * 9 = 216 cm^2
(ii) AREA = 216 cm^2 = BASE * HEIGHT / 2 = 20 cm * h / 2
So, 2 * 216 cm^2 = 20 cm * h.
432 cm^2 = 20 cm * h
432 cm^2 / 20 cm = h
21.6 cm = h

=================

Understand?

[nodnol32]

Its very easy. Just find the area of them first. For the first one:

0.5 × base × height


0.5 × 8 × 6=24


Now to find h, you reverse the triangle which means the base is 10 but the height (h) is unknown.


We apply the area formula again


0.5 × base × height=24
0.5 × 10 × h=24
5h=24
h=24÷5
h=4.8

[nevernevernever]

First to find the area, triangles are basically just halves of squares or diamonds. to find the area, take the length of a line from a vertex (point) of the triangle to a side of the triangle, and the side of the triangle which the vertex intersects, multiply them, then divide by half.

For part (a), you can see that the triangle is a right triangle, therefore you can just treat it like a square cut in half. Multiply the two sides of the triangle on either side of the right angle together and divide by half.
for part (b) you're going to take the length of the dashed line running from the vertex and multiply it by the side of the triangle which it intersects, and again divide by half.
you will do the same for part (c)

To find h, you are going to apply the principle that area = (line from the vertex) * (side it intersects) all divided by 2
you know the area, and you know the side of the triangle h intersects, so it becomes an algebra problem. Substitute the values in and solve for your one unknown.

[genericname85]

the question is sort of asked in a stupid way, cause you need the answer to question (ii) to answer question (i) xD
all your answers are here: https://www.omnicalculator.com/math/triangle-height
you can just use the calculator or you can look up the formulars and do it manually.
Area is simply 0,5x (bxh), b being the longest side.

[OlderAndWiser]

(a)
Calculate area using 8 as base and 6 as height
Area = 1/2 Base X Height
=1/2 X 8 X 6
A = 24

Now use the same formula using 10 as the base and 24 as the area to calculate h
24 = 1/2 X 10 X h
24 = 5h
24/5 = h
4.8 = h

[Makeushiver]

Well to find the area of any triangle its 1/2 base x height. All triangles have a total # of angles of 180 That should give you all the info you need to derive from that.

[BeMuse]

The area of right triangles is 1/2 the base times the height.

[RelaxedDad]

I can do it easy. But I need to know which class you are in to help you

[Pete671]

Are you doing remedial maths? nothing to be ashamed of by the way, it's just you're over 18 and doing stuff I did age 15/16,,,

[Angelina25]

Hope you got an answer!